$5 NLHE Full Ring: Hit trips on turn, call or shove?

Hey guys,
So this guy raised my CO raise pre. I know I've probably got him beat, but would you recommend calling or moving all in in these spots?

poker stars $0.02/$0.05 No Limit Hold'em - 7 players - View hand 2074078
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MP: $4.74
Hero (CO): $5.16
BTN: $1.92
SB: $4.21
BB: $4.00
UTG: $6.46
UTG+1: $5.84

Pre Flop: ($0.07) Hero is CO with J <font color='black'>♠</font> A <font color='red'>♥</font>
3 folds, Hero raises to $0.15, 2 folds, BB raises to $0.45, Hero calls $0.30

Flop: ($0.92) 5 <font color='black'>♣</font> 7 <font color='red'>♦</font> J <font color='red'>♦</font> (2 players)
BB bets $0.50, Hero calls $0.50

Turn: ($1.92) J <font color='black'>♣</font> (2 players)
BB bets $1, Hero raises to $4.21 all in, BB folds

got any stats on the BB? Have you been stealing alot? Not sure I like your preflop call. Don't mind the shove after he fires 2.

No the BB just joined the table. my LP steal % is 23%.
But my point was, what would be me profitable in this case usually? He could just be cbetting the turn.

Yeah I think pre is a little iffy, but otherwise everything is good.

I would actually wait to raise him, that way you keep his bluffs in the hand. Since you filled up on the turn, there really aren't many river cards that hurt you, so i'd flat the turn and then let the villian try to bluff at river and come over the top.