This was one of the 1st hands I played on the table and had no reads on Villain.

Poker Stars $0.05/$0.10 No Limit Hold'em - 6 players
The Official 2+2 Hand Converter Powered By DeucesCracked.com

BB: $3.85
UTG: $3.15
MP: $6.15
Hero (CO): $10.75
BTN: $9.75
SB: $12.20

Pre Flop: ($0.15) Hero is CO with K K
2 folds, Hero raises to $0.40, BTN calls $0.40, 2 folds



Flop: ($0.95) J 3 2 (2 players)
Hero bets $0.80, BTN raises to $1.60, Hero calls $0.80

Turn: ($4.15) 6 (2 players)
Hero checks, BTN bets $2.30, Hero calls $2.30

River: ($8.75) T (2 players)
Hero checks, BTN bets $3.70, Hero ??

I got really lost on this hand. I can never bring myself to fold to a minraise, but should I be letting the hand go on the flop? Or should I be shoving in there to give a flush draw the worst possible odds? When I call, should I then lead out on the turn? As played, do I call the turn/river?

depending on villain's stats I fold or shove after the min raise

As played on the flop fold the turn, as played on the turn fold the river. You beat nothing but a bluff at that point Ahxx kind of hand

Shove the flop if you don't mind variance. As played, by the river it appears he's taking you to valuetown, we beat nothing except an absurd AhJx. Fold.