The opp is a losing LAG, no relevant reads.
After playing 98 hands he's got
26VP/18PFR/1.4AF/38Steal.
First, he never raised so big previously, his opens were 2.5bb or 3bb. I assume his range is {QQ+, AKs}. Not sure about AQ/AKo/JJ, I think there is a small chance he play them like that.
I guess check-raising this flop is a best play, if you like check-calling more pls comment why. After he called, I think Q/K/J are the worst turn cards, and we've got one...
How do you play turn&river here?
Full Tilt No-Limit Hold'em, $0.50 BB (5 handed) -
Full-Tilt Converter Tool from
FlopTurnRiver.com saw flop
MP ($102.55)
Button ($60) Hero (SB) ($58.05)
BB ($58.80)
UTG ($18.05)
Preflop: Hero is SB with K

, A
2 folds,
Button bets $2.50, Hero calls $2.25,
1 fold Flop: ($5.50) 4

, A

, 6
(2 players)
Hero checks,
Button bets $5.50,
Hero raises to $13, Button calls $7.50
Turn: ($31.50) Q
(2 players) Hero bets $12.25, Button calls $12.25
River: ($56) Q
(2 players) Hero ?