You're probably not going to like what I am going to say here, but, well, you did come to a physician forum, so here's an honest opinion:
If you were coming to work with me, quite frankly, I would refuse to have anything to do with training you. I feel no obligation to help people take shortcuts to do my job. Would you help a HUC with no nursing experience who thought she could just kind of wing it and learn how to be a nurse by just asking for some tips from RNs while working as a nurse herself? That's what it looks like to me when NPs think they can do my job but expect me to help them learn how.
I suspect the reason you're not finding jobs that offer supervision is because other than CA, those states you're looking at allow NPs to practice independently. NP advocacy groups have convinced legislators in places like WA and OR that NPs don't need supervision. In theory, you were supposed to be trained for your job by the training program you went through, not by finding a random doctor who feels sorry for you and/or your patients.
It's a very sad state of affairs when vulnerable patients are seeing people for care who really are not prepared to deal with their issues. Since you mention having your own mental health struggles, I also question how much training you've been given on how to maintain healthy boundaries - which is a very crucial aspect of doing good psychiatric care and hard to learn on the fly in a short period of time.
But, hey, NP groups keep telling me that they have "the heart of a nurse and the brain of a doctor". Let's see how that holds up once malpractice attorneys catch on to how poorly trained so many NPs are nowadays.