Hero (SB): $38.90 (194.5 bb)
BB: $20 (100 bb) stats : V:19/P:16/3bet 11,9(84)/fold to 4bet 0(11)/765 hands
MP: $8.10 (40.5 bb)
CO: $7.23 (36.2 bb)
BTN: $17.43 (87.1 bb) stats: V:25/P:5 61 hands passive .
Preflop: Hero is SB with J

A
2 folds, BTN calls $0.20,
Hero raises to $1,
BB raises to $2.80,
2 folds
The BB is a reg and he has a high 3 bet range from the BB it could be better to 4bet? and how to react in a push ?