Don't 3bet with 44, 33% opening on the button if anything is tight so attempting to slow him down isn't a valid reason, nor is 44 the hand to do it with. I personally just fold pre. His fold to 3bet seems quite high (btn vs sb is different though a lot of the time) so it may be ok, but there are hands which block his continuing range and hands which fare much better vs his continuing range if he calls too much and doesn't 4bet.

You seem to have some pretty big sizing tells when cbetting too, from reading other threads of yours.

I think you'd have to stove it, but I'm not so sure this isn't a call on the river. I don't really think hands like A9 are really in his range and I think he has a lot of overpairs in there. I think he very few sets as he would raise on a flop this scary, some flush draws (mostly Asx) and mostly overpairs.