No-Limit Hold'em, $2.00 BB (9 handed) - Hold'em Manager Converter Tool from FlopTurnRiver.com

MP2 ($219.20)
MP3 ($210.25)
CO ($71)
Button ($42.95)
SB ($101.10)
Hero (BB) ($239)
UTG ($433.75)
UTG+1 ($361.05)
MP1 ($108.35)

Preflop: Hero is BB with J, J
7 folds, SB calls $1, Hero raises $6, SB calls $6

Flop: ($16) 4, 5, 9 (2 players)
SB checks, Hero bets $11, SB raises $93.10 (All-In), Hero ???

villain was 18/4/2 over 100 hands.
Should we be happy to stack off half of our stack here hoping that villain is enough on a FD/SD?