1000NL - OESD on flop, turn 2nd pair....peel or fire?

[c_hoop]

First off, sorry for not using a converter. I am having trouble using it with my site's HH. This is a sort of theory post as well as a practical one.


Villian is a decent reg. He plays full time, is a decent winner, mostly stays out of my way and gives me a good amount of respect. We haven't tangled at all this session and I have been pretty TAG so far to start, taking a few smallish pots down without showdown.


Do you peel or fire this turn?
If you fire turn do you fire again on river if checked to and you miss, if so what cards do you look for/avoid?


Hold'em No Limit ($5.00/$10.00)
6-max Seat #4 is the button
Seat 1: UTG($1096.00)
Seat 3: CO ($1004.00)
Seat 4: Hero BTN ($1217.00)
Seat 5: sb($691.50)
Seat 6: Villian BB($960.00)
------------------------------
NEW HAND
SB: posts the small blind $5.00
Villian: posts the big blind $10.00
--- DEALING POCKETS
Hero is dealt [6d,5s]
UTG: folds
CO: folds
Hero: raises $25.00 to $35.00
SB: folds
Villian (BB): calls $25.00
--- DEALING FLOP [3c,Js,4d]
Villian: checks
Hero: bets $55.00
Villian: calls $55.00
--- DEALING TURN [5c]
Villian: checks
Hero: