This looks like a good hand for Pokerazor (
http://pokerazor.com)
Given the strategy - hero check/calls the flop and villain shoves when checked to (basically - what happened in this hand), this is the range that comes closest to 0 EV for hero.
Board: 7h 2d 6c Dead cards:
Player 1 hands: AdKc
Player 2 hands:
JJ+, AK, AQs
Pot: 244 Blinds: 0, 0
Stacks: 281, 281
Results:
Player1: -5.467
Player2: 249.467
Total time: 0.03s
If you think he'll play this way with a wider range than the one listed (which it sounds like is the case given your read of him), then calling his shove is +EV. If he'll only shove with this range or tighter, than calling is -EV.