Guys,
do I play it profitably or to loose?

I tried to put vilian on range. I excluded Jx better than mine since JK and JA should be prefop bet at least for majority of field. The same for biggest pairs. My concern was J9 and 44 and maybe 99 (rather unlikely since I expected bet PF). So I put villian eather on Jx worst than mine, maybe A9, smaler pair and probably straight and flush draws. Is this logic correct? Should my shove be profitable?

PokerStars - $2.76+$0.24|10/20 NL (3 max) - Holdem - 3 players
Hand converted by PokerTracker 4

Hero (SB): 26 BB
BB: 25.5 BB (VPIP: 0.00, PFR: 0.00, 3Bet Preflop: 0.00, Hands: 5)
BTN: 23.5 BB (VPIP: 75.00, PFR: 0.00, 3Bet Preflop: 0.00, Hands: 5)

Hero posts SB 0.5 BB, BB posts BB 1 BB

Pre Flop: (pot: 1.5 BB) Hero has Q J

BTN calls 1 BB, Hero calls 0.5 BB, BB checks

Flop: (3 BB, 3 players) 9 J 4
Hero bets 2 BB, fold, BTN raises to 9 BB, Hero raises to 25 BB and is all-in, BTN calls 13.5 BB and is all-in

Turn: (48 BB, 2 players) 2

River: (48 BB, 2 players) T

I prefer a check - call on this flop with our top pair.