readless - Zoom, 4 hands, villain has not VPIPed yet

I feel that is a board where I have to check a lot of my range as PFR. My hand is not strong enough to bet/call or bet/gii, but likes to see a turn card. So I decided to ch/call.

Ch/calling this type of hands (SD or FD) requires me to put some hands in my ch/calling range that can continue on A,K,Q,J,T and board pairing turns. How would you play overpairs and dry 2P/sets in this spot?

I expect most villains to bet board pairs like always. I was thinking about ch/raising. The dry overpair part of his range has 50%+ equity against my hand and can bet/fold. However, I felt my hand is too strong to turn into a bluff here and I should rather do it with dry OPs. I won't ch/raise/fold much equity then.

Villain pots it. I think I can have dry 54, T98 and a bunch of overpairs here that have to fold now. The main flushdraw missed. Villain should not keep betting his Straights or 7xxx hands. It feels like a call to me.

Note to myself: Need to get to the river with some hands that can ch/raise here.

What is your weakest value hand you would check raise OTR vs unknowns?

Please, share your thoughts on every street.