Might be a bit of a loose 4bet pre but this guy seems to be 3betting quite a bit and don't want to flat this hand OOP.

Flop he has more 99 and probably more QQ in his range than I do so would be checking a fair amount on this board and this hand seems OK to put into our x/c range.

After he checks back the flop, i think we can remove most nutted hands from his range. We are perceived to cap our range quite a bit by checking and hes quite aggressive so hoping to induce something on the turn. Not sure if just x/shoving here to get called by 7x and FDs is better though?

River i don't see how we can get away from the hand at this point. He could also have bluffs like Axs that is trying to fold our AK and busted flush draws.

Would appreciate any input on all 3 streets as I'm not confident what the best line is here. Thanks