I'd have gone with the bet bet shove/check-decide line here.

UTG+2 is a fish (given their stack) and can defo call us on the turn with A lot worse hands. I'd bet the turn again with the intention of calling given SPR.

Bet turn your missing to much value vs all his Ax 2 pair and pair+draw , flush draws just make up such a small part of his range.

Not to sure how accurate my ranges are but if we give him a range of

JJ-TT,ATs+,KTs,KcJc,JcTc,Jc9c,Tc9c,Tc8c,9c8c,9c7c,8c7c,7c6c,6c5c,AQo-AJo

possibly could be a little tighter or looser so i think its a reasonable range to assign , and we have 66% equity vs that range.on the turn. All depends on 3bet ranges a'lot i guess , I put in the suited combos of AK because people don't always 3bet them vs EP so a few combos i think is reasonable. Even if he 3bets AT-AQ 25% or there about's here you still have around 60% equity.

So i'm really just always expecting to be a big favorite here on the turn , id bet around 80 or 90 then half pot the river for value and expect to get called by a ton of worse hands.

If he raises the turn you have an interesting decision. given stack sizes depending on his sizing. I would say id never jam over a turn raise so pretty much always calling unless he does something strange like jam then id need to know he can shove some worse hands other than flushes or a strait.

If he shoves it would be a huge over bet something like 4.60 into a 2.10 pot assuming we bet like 80 or 90 , been some years so forgive me if my maths is all to pot. But wouldn't we need to know he can do it with worse than flushes or a strait to call ? you would need like 50% equity to beak even on a call if he jams turn over your bet and we would only have around 30% vs flushes and straits. so he needs worse hands in his range for you to call a 2x pot size shove

I think @Harvie confused the stack size of UTG+2 with UTG+1.

For me this spot is a standard "bet until they raise me" spot especially given the board texture. Recreational players will play their range fairly honestly here which means they will pay you off with medium strength hands and raise flushes/straights.

I agree with @MattVIP. I don't really expect to be bluffraised on this board and QQ does very welll against his range. It should be really difficult for villain to have a flush here as well given the Ac and Qc are on the board so that leaves stuff like KJcc, KTcc, JTcc, T9cc and maybe some lower connectors. Those flushes are heavily outnumbered by the amount of TP and 2 pair hands villain can have that might call down 3 streets.