That's not a LAG. 26/18/1.4 isn't loose, nor is it aggressive at all.
I don't like not 3-betting pre tbh, if his range is that tight you should just fold anyway imo. But I doubt that it's really so nitty and I'd reraise for sure.
Why did you c/r flop if his range is so strong? Are you trying to bluff him off AK? Why'd you bet on the turn? And why so small?
I think every street in this hand is a giant question mark and I don't agree with any of the plays you made here.
Maybe I'm not getting something, idk?
The biggest problem here imo is the flop check-raise. If his range is so incredibly nitty, there's really no reason to turn your hand into a bluff. I guess in the rare situation that you thought he had a lot of A's and K's in his range preflop, a high fold to 3-bet %, but a low fold to c/r %, then you could keep his range wide pre and play TPTK like this. But in that case, the Q doesn't change anything and you should've just jammed.
As played, I think shoving is best as you're almost always splitting with AK but i think P (he folds AK) > P (QQ, AQ, or AA) and the money you'd win is pretty substantial too. You overrepresented your hand as a set and now you have to follow through with the triple barrel I guess.