OOP in 3bet pot. Sorta deep

[BGnight]

Villian is running 21/15. His post flop aggression was standard for a TAG. I've been pretty active.
So, how is the best way to play this postflop given stack sizes and being OOP? I didn't like b3betting cuz I don't think he's raising w/ air enough to get him to fold and it seems like higher variance this deep. So, I just went for the good ol c/raise semibluff hoping i was just trapping cbet $$
PokerStars No-Limit Hold'em, $2 BB (5 handed) Hand History Converter Tool from FlopTurnRiver.com (Format: FlopTurnRiver Cards)

saw flop|saw showdown</font>

MP ($143.10)
Button ($264.40)
Hero ($397.95)
BB ($373.90)
UTG ($254.50)

Preflop: Hero is SB with , .
3 folds</font>, Hero raises to $8</font>, BB raises to $24</font>, Hero calls $16.

Flop: ($48) , , (2 players)</font>
Hero checks, BB bets $38</font>, Hero raises to $112