200NL - Live AA on double paired board

[CazicT]

Stack Sizes/Reads
I have about 280, villian has me covered
Villian has played pretty laggy, i've been playing kinda tightly

[preflop]
I am in the BB with AA.

Villian raises to 17 from EP and two others call making the pot about 53. It gets to me and I raise making it 60 on top and the villian calls and all others fold.

Suits don't matter too much in this hand, I think there was a back door flush on the turn but it wasn't something I was too worried about.
[flop] (173 in the pot)
Q 9 9

I check, villian bets 50, I call

[turn] (273 in pot)
Q 9 9 Q

I check, villian bets 50, I call.

[river] (373 in pot)
Q 9 9 Q 4

I check, villian bets all in for like 110, what do I do...

First of all, I realize that I played quite passively, but I felt because the villian was aggressive this would be a good line.