PokerStars No-Limit Hold'em, $1.00 BB (9 handed) Poker-Stars Converter Tool from FlopTurnRiver.com (Format: FlopTurnRiver)

UTG+1 ($142.35)
MP1 ($106)
MP2 ($55.15)
MP3 ($93)
CO ($92)
Button ($184.50)
Hero ($112.30)
BB ($213.30)
UTG ($26.35)

Preflop: Hero is SB with 2, 6.
6 folds, Button raises to $3, Hero raises to $10.5, 1 fold, Button folds.

Final Pot: $7

BB is ubernit 9/4 or something. NOTE BB IS NOT VILLAIN HERE.

How high does villain's attempt to steal need to be for this, and what sort of bet sizing do you recommend here?