A bad spot to free showdown?

[Thomas Luice]

Villain has 23/15.7/2.2 over 180 hands.

Poker Room skin
Limit Holdem Ring game
Limit: $2/$4
4 players
Converter

Pre-flop: (4 players) Hero is Button with 8[img]/images/graemlins/club.gif[/img] A[img]/images/graemlins/spade.gif[/img]
UTG folds, <font color="#cc0000">Hero raises</font>, <font color="#cc0000">SB 3-bets</font>, BB folds, Hero calls.

Flop: 7[img]/images/graemlins/diamond.gif[/img] 7[img]/images/graemlins/spade.gif[/img] 8[img]/images/graemlins/heart.gif[/img] (6SB, 2 players)
<font color="#cc0000">SB bets</font>, <font color="#cc0000">Hero raises</font>, SB calls.

Turn: Q[img]/images/graemlins/diamond.gif[/img] (5BB, 2 players)
SB checks, <font color="#cc0000">Hero bets</font>, <font color="#cc0000">SB raises</font>, <font color="#cc0000">Hero 3-bets</font>, <font color="#cc0000">SB caps</font>, Hero folds.
Uncalled bets: 1BB returned to SB.

Results:
Final pot: 11BB

I don't think he could 4 bet as (semi)bluff. I put him on QQ+ and AQ,A7 or FD. would calldown be better? (or fold?)