Wouldn't surprise me if some flame me for this, but against the known passive portion of the 1/2 player pool I'd just fold flop. If a player is limping hands as strong as AQ and his PF 3! range is AA only (if he 3!s anything at all), then I'll assume he wouldn't raise draws on this flop or have a value raise range that's worse than AJ.
As played, I'm checking river and praying I get to showdown. With the board pairing OTT, I could see him checking back a boat, trying to allow you to hit the draws that he perceives you could have (it's not the proper line to take IMO, but plenty of 1/2 players think this way). If I were to assign a range to the described V, it would be overpairs, boats, and J10. If hes not as passive as you think he is , then you could add in some combo draws. The only part of that range you're ahead of OTR is the missed draws and he's not calling a bet with those hands. Check river, and mostly a check/fold against this player type.
Xc the river is normal as played. Raise more preflop. We could target a worse j or tx if he puts us on a missed draw but that seems optimistic and we don't want to be bluffed off the winner by a raise (or alternatively, bet/call without a better read on villains bluffing frequency)
Against certain players, I'm just snap folding flop and not thinking twice about it.
AP, check river.
Although given that he limps AQ, it wouldn't surprise me if he had QQ here or better (JT that checked turn for some reason? Or maybe even a monster like TT)
Fold flop even if we think he does this with a few combo draws. He can have 6 combos of JT, 1 combo 66, 3 combos TT, 3 combos AA, 6 combos KK, 6 combos QQ, 1 combo JJ = 26 combos total. 24 if we eliminate a couple of JT. His only combo draws realistically are KQh, AQh, AKh, if he’s frisky A6h, 89h, and maybe one or 2 Ax nut flush draws that aren’t combo draws. That’s around 6, so he has 4x as many value combos, and even against his bluffs we are flipping. Fold and move on IMO