Villain $900ish utg1

Hero $2,200 SB

Straddle pot villain makes it $45

Hero 3bets to $180 with AdAh 

Villain calls

Pot $375

Flop Q33

Hero bets $255 villain tank shoves around $729 hero calls.(had to call another $424)

I have about 4 sessions with villain, I know he used play as high as 10/25 at other casinos, thinking player but he has sessions where he just goes on spew marathons.

Session prior to this one he 4/bet jammed with 108ss pre and got stacked.

He calls 3/bets in and out of position about 90% of the time when he opens.

I like my 3/bet sizing pre because I am getting value from his calling range, my bet sizing OTF was meant to look like " I have AK and want to take it down" and I thought if I went big he would shove.

After the hand was over I think I made a big mistake with my sizing, if I bet like $185-$200 I get value from his Qx and His floats and get shoves from his air/bluffs.( I think if he wasn't on one of his spew sessions he would fold to my sizing OTF!!)

Any thoughts on sizing in this spot?