Villain was a 41/22 who would call any 3-bet preflop with the same range he called a single raise. Previously he'd called two bets with KJ on a K-high board in a 3-bet pot against my QQ. What's your line and why?

Full Tilt No-Limit Hold'em, $4 BB (6 handed) Hand History Converter Tool from FlopTurnRiver.com (Format: FlopTurnRiver)

Hero ($751)
BB ($290.20)
UTG ($667.10)
MP ($406)
CO ($499.90)
Button ($1395.60)

Preflop: Hero is SB with T, T.
1 fold, MP raises to $16, 1 fold, Button calls $16, Hero raises to $62, 1 fold, MP folds, Button calls $44.

Flop: ($142) 4, 2, 8 (2 players)
Hero bets $111, Button calls $111.

Turn: ($364) 6 (2 players)
Hero ???