I hate hands like these.....

Party Poker
No Limit Holdem Ring game
Blinds: $0.25/$0.50
10 players


Stack sizes:
UTG: $15.20
UTG+1: $32.50
UTG+2: $53.80
MP1: $25.28
MP2: $70.05
MP3: $53.10
CO: $50
Button: $69.35
SB: $64.41
Hero: $50.75

Pre-flop: (10 players) Hero is BB with
UTG folds, UTG+1 calls, UTG+2 calls, 3 folds, CO calls, Button folds, SB calls, Hero raises to $3.5, UTG+1 calls, UTG+2 folds, CO calls, SB folds.

Flop: ($11.5, 3 players)
Hero bets $8, UTG+1 folds, CO calls.

Turn: ($27.5, 2 players)
Hero checks, CO bets $10, Hero folds.
Uncalled bets: $10 returned to CO.

Results:
Final pot: $27.5

CO is a PT Mouse, 24% VP$IP / 6% PFR, post flop aggr 0.83. Since he limped and then called my raise, the only hands I could put him on would be JT, JQ or KQ, probably suited. I doubt he had 99 or AQ, since he raised PF with 88 and AK once before. I suppose a smaller PP is possible, but doubt he would call my 3/4 pot flop bet. It just felt like I was getting slow-played.

Betting out or check-raising the turn would pretty much get me pot commited, I think. Anyone have any other ideas? Push the flop? Pre-flop?

I would need a read to continue with this hand. Even the one decent draw on the flop, oesd with JT, completed on the turn. I often check fold this unless you have a read that this guy tests you by seeing if you fire the second bullet. If it was the river, it would be different but you are gonna have to call another bet on the river to show it down. If he makes it cheap enough there, he's likely got the Q. If he makes it expensive, he may have it, he may not but doe you want to pay your whole stack to find out?

checking the flop is the worst option. you get no information if the guy is betting to take the pot from you or he has a hand. If you check the flop, it should be to check raise which is a more expensive way to figure out if he has a queen.

I would say at least throw a bet out there on the turn and see what happens, if your called or reraised dont throw anymore in.

I just don't see a hand you are beating on the turn besides another pocket pair on the turn. Even the straight got there. Betting the turn just seems to be a waste as you don't see anyone fold there often and you have one more street oop to deal with.