I do ~8-12 fistula/graft creations/insertions per week and about 20 access related procedures/surgeries a week total (also trained under one of the biggest access gurus in the US...) So, I think I can comment on this from a surgical side a little bit.
#1 Until proven otherwise, a new access failing in PACU is technical error. If a thrombectomy is performed, a fistulagram is performed and no technical problems can be found, THEN we can have a discussion about what else might have happened. By far the most common cause of early access failure and it is not close.
#2 Hypotension causes accesses to go down. It happens all the time. HeRO grafts in particular (because of their length and lack of compliance) go down routinely if SBP drops below 100mmHg. This mostly happens in the dialysis unit when the patient is super dry, but happens when patients get admitted to the hospital as well for other reasons or peri-op. Rarer, but definitely happens with a traditional PTFE grafts as well and almost unheard of with an AVF. I had a patient come in in afib w/ RVR with relative hypotension and thrombosed off their AVG. Declotted and it was pristine. I have had one access go down in PACU on me that I strongly suspect was hypotension related. It was a HeRO and when I thrombectomized it, I couldn't find anything technically wrong with it. But, I don't think I even talked to anesthesia about it afterwards. I got the clot out and then went back to my other cases...
Regarding the blocks... I have done creations under local/versed, but an insertion I think is asking for trouble. I have gone to doing virtually everything under a regional block of some kind. Patients tend to tolerate things better and tend to use less narcotics post-op, but that is my anecdotal experience.