Likely program/clinical site dependent. I am in the same boat, as I wear a few different hats (TA, research, coursework, clinical work, etc) and it's getting harder to manage everything. On top of all that, I've been wanting things that I didn't think I wanted so soon before starting the program. Things like getting married, starting a family, making income, etc. As a 25-year old in this generation, I feel so behind on all these adult things. I feel like I can't do any of these things because I am stuck in graduate school.
Is there freedom and flexibility after training?
I was 26 when I started my program (clin psych, not neuro) and also found myself in a program with objectively unreasonable expectations and wearing too many hats (my advisor liked to volunteer me for assorted other things without asking me first on top of the rest)- all that to say I hear you. I struggled with the same desire to throw my hands up at it all. I think it was probably my lack of an easier plan B that I thought I would definitely like more or as much as being a psychologist that helped me stick it out (and the bonds of feeling like you're in some warped kind of mental foxhole led to strong bonds with a few in my cohort which helped a lot). There was also this too-accurate meme/humor website about being a grad student in psych but I can't recall the name of it - anyone? It was pure gold at the time...
I fear this is going to be a long post because the absurd clinical & transportation demands piled on with wearing several other hats is eliciting some flashbacks and tons of empathy over here. Many parts of my grad school experience really sucked, some aspects downright toxic, much of it unreasonablel, and yet... I'm still glad I stuck it out. You might decide that is not for you, but regardless, until you get to that decision point maybe something in the below might be a little helpful.
Sounds like you are totally overscheduled which makes everything terrrible, and just even more terrible over time as you get more and more sleep deprived (and socially / personal time deprived)- even if all the things are things you normally enjoy. My key turning point was when I finally internalized the idea that no one would die - or get kicked out of school - if I strategically said no to things. Professional development skill of grad school - learning which corners to cut, how to dovetail your goals/demands with your classmates to split the load or at least integrate social time while doing the things, and learning how to strategically and diplomatically say no (and mean it) because being able to recognize when you need to take steps to preserve your own mental and physical health are also critical professional (and life) skills in the long run, right?.
I have no idea if it will work for you, but my eventual approach to being overscheduled (or at least my eventual more adaptive approach than my earlier responses): I blocked out my hours on a calendar in 30 minute increments, colored them in to show where time was going (or was supposed to go), including accounting for transit time, sleep, eating, showering, weekend chores of laundry, grocery shopping, studying/dissertating etc (I even put a weekly 30 minute phone call to my grandma on there because hey, it's important). I then matter of factly presented it to my (generally very unapproachable and unavailable) advisor, saying "this is my life as currently scheduled. These are the things that i find myself NOT having time for (insert something they also find important, like sleep, writing dissertation). Something has got to go. I'm thinking X makes the most sense because of (reasons), but also considered maybe y instead because (reasons) I've got ideas of how I'd manage either transition- but wanted to first get your opinion on which would be preferable because (insert some mild, truthful ego stroking such as because you have the experience to know what is likely to ultimately matter more/less to my academic/career trajectory). Which do you think would be the most reasonable route to take -cutting this (with transition plan), or this (with transition plan)?" I've since used the same approach in other situations and find it's generally well-received.
No one thinks about your schedule as much as you do. In fact, most people who supervise you probably don't think about it at all except to know when they can expect to see you doing xyz. Especially when you are wearing a bunch of different hats, no one has any clue the sum total you have going on and how much time those things take. You're the only one who has the full objective picture of where your time goes and the varying demands on it. Most people, when the big picture is presented to them, turn out to be pretty reasonable.
So.... sorry for such a long post. Main point: I'd suggest taking steps to reduce the demands on your time as a first step. If you're as dissatisfied as you say, you've got little to lose in doing so. That will give you more mental/emotional energy and space to first take a deep breath and regain some equilibrium, then thinking about what else you might want to change / move towards next. Or you might find that when you're not totally burnt out, you actually like it well enough most of the time after all. Then you'll also have more mental space to consider ways to address the financial stressor you mentioned.
Also: Oof. You've gotta change your comparison group. At the very least, compare yourself to other people who are also in or recently exited graduate school. Your path is so different than the norm (folks that don't attend grad school) that you're kinda not even comparing apples to oranges, I think, but more like apples to eggs or something. (Better yet, get off of or extremely diminish the scope of your social media consumption). Spend more time talking to upper year students, recent graduates, people who are on similar paths who can legitimately tell you that it gets better (it does). Anecdata that it does get better - of the 8 people in my cohort or adjacent who were also late 20s or older when they graduated, all are married / partnered (or divorced and repartnered), and everyone who has wanted to have a kid (or more) does, to my knowledge - and is living in their desired geographic location (at least the same or adjacent state) working WAY fewer hours than we did in grad school with all our many hats. Also you get a lot more freedom to find/shape the kind of position that would allow whatever is your preferable ratio of clinical work to other stuff.
Therapy would prob be helpful in theory, but finding the time and the waitlists can be hard, right? Can you find a reason to dig more into learning and practicing DBT, CBT, and find an informal CBT/DBT/kvetching buddy who is similarly beleaguered? if nothing else, it feels good to be able to laugh at the absurdity of it all from time to time - especially if all your non-grad-school friends and family really just cannot fathom and it eventually feels like too much effort to explain. Sometimes it's nice to hear someone else who is in a similar position also acknowledge that yeah, this is not what I expected. It sucks. And also, it won't last forever, so let's go get ice cream and practice being mindful for the duration of time it takes to eat it. Or whatever mutually floats your boat. If you do choose to stick it out, keep in mind that especially in programs with not-so-great support or balance of demands, getting to graduation might be more of a group project than an individual achievement. At least that's how it felt to me.