50NL JJ possible spewage

Only played about 20 hands so far with the villain. He was 38/18 so far. No real idea of his 3 bet range + it's a min raise. What's a better line here?

Absolute Poker
No Limit Holdem Ring game
Blinds: $0.25/$0.50
6 players
Converter

Stack sizes:
HERO: $62.03
UTG+1: $80.53
CO: $19.50
Button: $85.27
SB: $107.15
BB: $50.22

Pre-flop: (6 players) HERO is UTG with J:club: J:diamond:
HERO raises to $2, UTG+1 raises to $4, CO calls, 3 folds, HERO calls.

Flop: 2:heart: 6:club: 9:club: ($12.75, 3 players)
HERO checks, UTG+1 bets $10, CO folds, HERO calls.

Turn: 7:heart: ($32.75, 2 players)
HERO bets $15, UTG+1 raises all-in $66.53, HERO folds.
Uncalled bets: $51.53 returned to UTG+1.

Results:
Final pot: $62.75

I probably would have check/folded the turn, because I can't see AK/AQ firing two barrels, and you're not ahead of that many pocket pairs.