BB is 28/15/1.75.

PokerStars 2/4 Hold'em (10 handed)

Preflop: Hero is CO with , .
3 folds, MP1 calls, 2 folds, Hero raises, 1 fold, SB calls, BB 3-bets, MP1 folds, Hero calls, SB calls.

Flop: (10 SB) , , (3 players)
SB checks, BB bets, Hero raises, SB folds, BB calls.

Turn: (7 BB) (2 players)
BB checks, Hero bets, BB calls $4 (All-In).

River: (9 BB) (2 players, 1 all-in)

Final Pot: 9 BB

I think you played it fine. You are either ahead or crushed by an overpair so might as well get the SB out if you can against the short stack BB and hope for the best.