Villain is 12/5/3.6 with 100% cbet% after over 250 hands and flop aggression of 5.0.

PokerStars No-Limit Hold'em, $1.00 BB (9 handed) Poker Stars Converter Tool from FlopTurnRiver.com (Format: FlopTurnRiver)

UTG+1 ($55.35)
MP1 ($191.50)
MP2 ($32.10)
MP3 ($136.10)
Hero ($104)
Button ($116.45)
SB ($45.35)
BB ($106.95)
UTG ($120.45)

Preflop: Hero is CO with A, A.
UTG calls $1, 4 folds, Hero raises to $5, Button raises to $12, 2 folds, UTG folds, Hero raises to $38, Button calls $26.

Flop: ($78.50) 7, 6, 8 (2 players)
Hero bets $66 (All-In), Button calls $66.

Turn: ($0) 2 (2 players, 1 all-in)

River: ($0) 7 (2 players, 1 all-in)

Final Pot: $210.50

Since Villain's stats indicate that he's really aggressive on the flop, is a flop check-raise all-in more appropriate here to try to get more value out of the occasional AK? Or do I lose too much value from the times he checks behind and catches up with a 2-outer or AKs?