What would you do? #179 - Holding overpair; what am I beating here?

Full Tilt Poker $0.50/$1 No Limit Hold'em - 9 players
The Official DeucesCracked.com Hand History Converter

MP1: $106.85
MP2: $100.00
CO: $269.00
BTN: $100.00 - 16/16 / 29% steal / 5.0% 3bet / 7.0AF / 100% cbet flop / 115 hands
SB: $100.00
Hero (BB): $119.95
UTG: $73.65
UTG+1: $100.00
UTG+2: $132.55

Pre Flop: ($1.50) Hero is BB with Js Jc
5 folds, CO calls $1, BTN raises to $5.50, 1 fold, Hero calls $4.50, CO calls $4.50

Flop: ($17.00) 6d 2d 7s (3 players)
Hero checks, CO checks, BTN bets $12, Hero calls $12, CO calls $12
It's fine that he cbets here.  I don't know that there's a purpose in raising.

Turn: ($53.00) 2s (3 players)
Hero checks, CO checks, BTN bets $28, Hero requests TIME, Hero folds, CO folds
So is this a mistake to fold here?  It's very thin to call and expect a river shove...  He could easily show up with 88-TT as he could QQ-AA or even Axd, etc.  He doesn't have a huge propensity for stealing (29% is not a "regular" stealer...  What do you think?  Mistake?  Not a mistake?  I'm expecting to hear pretty divided comments...

Final Pot: $53.00
BTN wins $50.35
(Rake: $2.65)