He has clearly got some pre-flop aggression in him and that flop misses a lot of 3-bet defending hands. Check-folding the flop getting 7:1 doesn't sound good to me. Bet-folding sounds better.

Another idea, I don't see him going anywhere with 3-bet worthy overcards or a pair on the flop so what about just check-calling the flop and see what happens next?