Don't do it, he has dem pocket sevens!
Serisouly though, is he really calling a shove with AK, AQ here ever...doubtful. Not unless he puts you on T6, which is horrible. Maybe he's a donk enough to stack off with TP though. If he has the A
he might stack off here if he thinks you were floating the flop.
If you don't shove what are you betting.... 240-300? Might as well shove, he won't have much left. The board pairing does suck if he puts you on 66, or TT. He might have K
Q
also, which case you're get nada. So....shove and pray he has an A or AT