A9o against very LAG (OOP)

OK Villain was very LAG, played a lot of hands, especially from LP. If folded to him on the button, tried to steal blinds 100% of time with 4xBB raise. Which was always followed up with a 75% pot c-bet, whether he hit or not.

PokerStars No-Limit Hold'em, $0.02 BB (6 handed) - PokerStars Converter Tool from FlopTurnRiver.com

UTG ($2.21)
MP ($5.09)
CO ($5)
Button ($1.26)
SB ($5)
Hero (BB) ($2)

Preflop: Hero is BB with 9, A
1 fold, MP bets $0.06, 1 fold, Button calls $0.06, 1 fold, Hero calls $0.04

Flop: ($0.19) 2, 10, 9 (3 players)
Hero checks, MP checks, Button bets $0.10, Hero calls $0.10, 1 fold

Turn: ($0.39) 5 (2 players)
Hero checks, Button bets $0.20, Hero calls $0.20

River: ($0.79) 2 (2 players)
Hero checks, Button bets $0.90 (All-In), Hero ???