turn out of position with good draw vs lag

[NaDaChip4U]

me and villian have been tangling a lot in couple tables, most of them blind vs blind battle or button vs blind. him and i both were playing lag, betting and raising a lot without going to showdown much, ive been getting little better of him. effective stack is $430

hero(sb) with 4d6d completes $2, bb raises to $16 hero calls.
flop: 10d Kd 3h
hero checks, bb raises $22, hero raises to $65, bb calls.
turn: 4c

i limped in many type of hands vs this villian and its been working ok, on flop i decided to check raise him and when he called i figured he got the piece of the flop.( i think he wouldve reraised if he had str or flush draw or AA or AK). when 4 hits i figured i had some editional outs and wasnt sure what i should do and checked and he bet $110 hero??
betting turn mightve been better but not sure