Finally checked out NJ State Auto Used Cars (Jersey City, NJ) after seeing their lot on my commute for months. They keep around 101 vehicles, mostly budget commuter cars. They were totally fine with my mechanic doing a once-over, which honestly settles half the trust question.
Lot address: 406 Sip Ave, Jersey City, NJ 07306. Visitor parking: Street / lot near Sip Ave. Website: https://www.njstateauto.com.
Paper side: licensed with the state (looked it up), about 84% of stock has title in hand per the office, and they offer no warranty — as-is, but any inspection welcome.
Overall: good people to deal with. 27 years in business around budget commuter cars, doc fee $299 and it's on the window sheet, no games. I'd send a family member there.