2 overs and a 2nd nut FD facing a flop raise (vs unkown)

10NL villain is like 50/0 over 6 and limp/calls this hand too.

When he raises my cbet im unsure about his range. Its not a very big raise.
34 (maybe), 56, 67, T9, JT, 33, 66, TT (maybe), 77, 88, 99, Axc combo's.

Im not sure how clearly i was thinking, i didnt put him on Axs combos since id figure a limp/caller to tend to just call my flop bet. So i was basically willing to get it all in. My flop raise was for value.

shoot me down and hows my subsequent betting?

PokerStars No-Limit Hold'em, $0.10 BB (7 handed) - Poker-Stars Converter Tool from FlopTurnRiver.com

Hero (MP2) ($12.60)
CO ($14.75)
Button ($5.30)
SB ($7.05)
BB ($8.05)
UTG ($6.70)
MP1 ($13.30)

Preflop: Hero is MP2 with K, Q
UTG calls $0.10, 1 fold, Hero bets $0.50, 3 folds, BB calls $0.40, 1 fold

Flop: ($1.15) 3, 6, 10 (2 players)
BB checks, Hero bets $0.50, BB raises to $1.30, Hero raises to $2.70, BB calls $1.40

Turn: ($6.55) J (2 players)
BB checks, Hero bets $2.50, BB calls $2.50

River: ($11.55) 9 (2 players)
BB checks, Hero bets $6.90 (All-In), BB calls $2.35 (All-In)

Total pot: $16.25 | Rake: $0.75

I don't like the flop cbet sizing. Do you ever bet your made hands less then half-pot on this board. Also, as played, he has only 4.85 behind on a pot of 6.55 by the turn. Why don't you just put him all-in?

i thought then and still think that he can still fold worse to a shove on turn.

i really not sure what i was thinking with teh cbet

I don't mind the bet sizing so much, a half pot bet each street gets you all in by the river while still allowing better hands to fold while you are drawing.

When he raises the flop reraising seems fine if you think he does this with draws... but expect to get shoved on by top pair hands, overpairs, and generally anything beating you, giving you a tough decision.

I think I sometimes flat his reraise and sometimes just shove the flop. The way it played out, if you had blanked on the turn, what's your play?

When you made the second nuts on the turn, you played it fine.. nothing wrong with betting half his stack each street to get it all in.

As played on the turn put him all in as the effective stack is $4.85 with a pot of $6.55.

Don't worry about folding out worse hands with a shove vs this guy - the bottom of his range (6x,v weak Tx,air) is unlikely to pay you off whatever you do and by betting this way his sets can draw to a full house.

We get so much value from the rest of his range {33,66,TT,worse flushes, good Tx including T6} that shoving is the most +EV.

Your flop 3-bet sizing and turn bet sizing are both off. On the flop, analyze your implied odds and what happens if you just call, then analyze what happens if you 3-bet shove. On the turn, notice the pot odds you are giving your opponent to outdraw you with a bare Ace of clubs.