25NL: Those overpair vs set situations

Opponent is 12/8. It is blindingly obvious to me that he has a set after his turn checkraise, but I feel way too committed to get away. Is there a better way to play these situations or do you just accept that you're always going to stack off here?

PokerStars No-Limit Hold'em, $0.25 BB (9 handed) - Poker-Stars Converter Tool from FlopTurnRiver.com

Button ($4.75)
SB ($4.75)
BB ($36.95)
UTG ($20.25)
UTG+1 ($11.45)
MP1 ($30.10)
MP2 ($29.15)
Hero (MP3) ($25)
CO ($25)

Preflop: Hero is MP3 with K, K
UTG calls $0.25, 3 folds, Hero bets $1.25, 3 folds, BB calls $1, UTG calls $1

Flop: ($4.10) 10, 4, 5 (3 players)
BB checks, UTG checks, Hero bets $3, BB calls $3, 1 fold

Turn: ($10.10) 3 (2 players)
BB checks, Hero bets $6, BB raises to $32.70 (All-In), Hero calls $14.75 (All-In)

River: ($51.60) 10 (2 players, 2 all-in)

Total pot: $51.60 | Rake: $2.55

A set is very high on his range of hands here. but its quite possible that he is over playing a hand like qq or jj. Also if he had a set on this board don't you think he would have raised the flop. Its not a dry flop at all considering he still had 1 player behind him?

I'd have to say at 12/10 hes more than likely not stacking off on the turn with less than 2pr.

I think it was played right, untill the call for the 32, i think i would have folded, even he didnt have a set then, the chance that he picked up his flush draq like having a hand a/10 diamonds, hit top pair and then hit flush draw, or a/2 and caught straight, there are to many hands he could have for 32,

You are not committed...this is a really standard laydown. His preflop calling range is just about only pocket pairs fwiw.

You got to know when to hold 'em, know when to ____ 'em.