10nl AK-tptk facing shove on flop

Easy easy call, not even remotely close.

I think villain does this with AQ but what is hero's range?

I know what the cards on the flop are from reading the thread, but for some reason, I can only see 7s, 2s. Weird.

I'm kind of a 3-bet nit. My range pre for 3-bet here is JJ+, AK. And I most likely check JJ-KK on the flop, hoping to get value from QQ-KK on later streets. So yeah, I'm at the top of my range on the flop, which is why his shove has me confused and 2nd guessing. From this flop and my bet, I expect a call from AK, AQ and maybe one street some of the time from TT-QQ. 14 combos of AK,AQ + 25% of 18 combos TT-QQ= 18.5/32 ~58%. And I expect a fold the rest of the time. I never expect to be shoved over on. Maybe he thinks I am a lagtard who can do this with AT and would love to call his shove, that is definitely not my image at the table, but then again, who knows how well he is paying attention. Anyways, after a little time I decided there was nothing in his 3-bet flat range that had me crushed so I looked him up. He showed up with AsQs. Now I am trying to figure out if his shove is right given the logistics of the hand, and that I play straight forward in 3-bet pots. Let's assume he has no fold equity and my range post flop is AA, AK.



Board: 2s 7s Ad
Dead:

equity win tie pots won pots tied
Hand 0: 56.397% 55.86% 00.54% 4977 48.00 { AA, AKs, AKo }
Hand 1: 43.603% 43.06% 00.54% 3837 48.00 { AsQs }

After the math, he is +EV to shove and I'm +EV to call (hello dead money). I wonder how this hand plays post flop if I flat pre?