5NL FR AA UTG vs fish on double paired board

MP2 is 42/0 over 13 hands, half stacked.

His range on the turn is polarized between draws and made hands that crush me. I think it's OK to bet/fold the turn? On the river there is only a half pot bet left, and his range is still super polarized between FH and missed draws (+ maybe some weird JJ or KK), so I guess I shouldn't bet here? should I ever fold if he bets?

Maybe my bet sizing was wrong on previous streets? Bet smaller on the turn?

Thoughts?

Full Tilt No-Limit Hold'em, $0.05 BB (8 handed) - Full-Tilt Converter Tool from FlopTurnRiver.com

saw flop

MP1 ($4.64)
MP2 ($2.67)
CO ($5)
Button ($6.35)
SB ($4.95)
BB ($4.26)
Hero (UTG) ($5.22)
UTG+1 ($5.33)

Preflop: Hero is UTG with A:club:, A:diamond:
Hero bets $0.20, 2 folds, MP2 calls $0.20, 4 folds

Flop: ($0.47) Q:spade:, 10:spade:, 10:club: (2 players)
Hero bets $0.35, MP2 calls $0.35

Turn: ($1.17) Q:club: (2 players)
Hero bets $0.85, MP2 calls $0.85

River: ($2.87) 5:heart: (2 players)

Villain is likely shaping up to be a very passive player against which I'd c/f Turn.

pot flop imo....on this turn i would probably c/f....depending on the opponent i might fire a small barrel cause some fish will still call with spades/kj/j9/some pp cause lol-you have AK....but most the time im just c/f'ing bc a 42/0 isnt going to be betting here without a q.

Barreling a half stack fish with AA is never going to be that bad. So probably shove the river. However, betting the turn turns your hand into a bluff somewhat, so checking the turn, esp against a passive player who won't often bluff you, is probably best.

:( My turn play really sucks esp. OOP. I have to fix that because this leak is costing me a lot.

Thanks for the replies.

OK I had a chat with Spoon and Dozer about this hand in IRC and they pried my eyes open to the fact that the turn calling range I put villain on is retarded. Why would he be drawing to a straight or flush vs a likely FH?

This makes betting this turn even worse than I first thought.

He's a fish, he's still going to call with a SD/FD, but c/f is still better than any of the alternatives.

my play i think is the worst, here i would c/c turn and shove river. fish like that 90% of the times is bear by AA

my play i think is the worst, here i would c/c turn and shove river. fish like that 90% of the times is beat by AA

why would you ever bet the turn for value with AA here?