OK, tell me what you think his 3bet range is. Think before you do this.
So when we raise what hands is he going to shove and which hands is he going to fold?
Well hes going to shove TT/JJ because they have sets. QQ because he has the Qh as a backup. KK/AA and any AK with a heart.
There are 3 combos each of TT/JJ 1 combo of QQ 6 combos each of KK/AA and 16 combos of AK, 7 of which contain at least one
(one of these is AKhh) Ill even say he may fold KK to your flop raise if he doesnt have a
sometimes.. so lets say he folds 1 combo of KK.
He shoves with 25/35 of his liberal range and 12/13 of his probable range. So you can see that raising this flop gets him to fold sooooo little and your putting in so much to do it.
Adjust the numbers as you wish if you disagree with some of the assumptions, but fairly certain itll come out as -$EV if you do an equity calc with almost any range you give him.
Also, you should be able to see why this flop is so awful for your hand... the only pairs you were ahead of now have sets and most of the AK combos are flipping with pair/flush/straight outs vs your QQ.