IMO Villain has to have a straight-up QQ or a hidden AA here. Thoughts?

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Game # 336611639 - Texas Hold'em No Limit EUR 0,50/1,00 - Table "Abanilla"
Game ended 2006-05-24 06:50:50 GMT+01:00

Players:
bambagia (EUR 19,95 in seat 1)
let_mewin (EUR 122,15 in seat 2)
Ravageur2 (EUR 51,75 in seat 3)
smizmiat00 (EUR 101,80 in seat 4)
Fiskmister (EUR 47,35 in seat 5)
Henitruk4 (EUR 228,50 in seat 6)

Dealer: Henitruk4
Small Blind: bambagia (0,50)
Big Blind: let_mewin (1,00)

Henitruk4 was dealt: Kd - Kh

Ravageur2 Fold
smizmiat00 Fold
Fiskmister Fold
Henitruk4 Raise (3,50)
bambagia Fold
let_mewin Raise (10,00)
Henitruk4 Raise (45,00)
let_mewin Call (37,50)

Flop Qc (worst possible card I think... )- 6d - 3c

let_mewin Check
Henitruk4 Bet (40,00)
let_mewin All-In (73,65)
Henitruk4 Call (33,65)

Turn Qc - 6d - 3c - 4c
River Qc - 6d - 3c - 4c - 5d

With Villain's stack size I can't get away from the overpair. Or can I? I haven't seen anything donkish from him so far. He seems like a decent TAGG. I laid down JJ preflop to him a few hands ago (bad odds to hit set) and let him know... Unless he's brain-dead I am playing with my cards face-up.