Thanks for the advice everyone. I'm planning to do both background checks and credit checks on Cozy after seeing it recommended here, it says it's "county by county" and also national criminal checks. Does that sound like what I want?
I'll also check out trains union smart move, thanks for the suggestion. Nice to have choices!
Ok, I'm not thinking I'll get someone to move in before I leave or anything like that (It seems June 1 is also too rushed, ok, I'll calm down), but just thinking I can show it to some people to possibly have someone committed even for July 1 (we'll be home June 4). And if no one passes the checks, so be it, I'll show it to more people when I get back.