K4s - A 4-bet bluff gets flatted IP. Now what?

Villain is 18/15 over 280 hands. 3-bets 7% (10%) in the BB and has folded to 2/2 4-bets.

Think this is a pretty good spot to 4-bet. I have no idea what his flatting range is here, but Iassume it's pretty much just parts of his 3-bet value range since he obviously does fold to 4-bets and we have no real dynamic. First time I've 4-bet him this session.

So I either wanna 1/2 pot flop and jam turn to fold out JJ-KK type stuff, or just give up. I don't expect to see AK too often, AQ I guess is possible. Think I like giving up and think firing one is our worst option here.

Thoughts?

Note I make this roughly 11 preflop, converter being strange.

Party Poker No-Limit Hold'em, $0.50 BB (6 handed) - Party-Poker Converter Tool from FlopTurnRiver.com

BB ($77.90)
UTG ($15.70)
MP ($20.75)
CO ($42.65)
Hero (Button) ($53.10)
SB ($65.40)

Preflop: Hero is Button with K:diamond:, 3:diamond:
3 folds, Hero bets $1.50, 1 fold, BB raises $4.50, Hero raises $9.90, BB calls $6.40

Flop: ($23.05) 6:spade:, A:club:, 5:club: (2 players)
BB checks, Hero?

its a pretty small sample to put him on specific 3betting frequencies, no real need to do anything too fancy overall i think against this type of opponent, he's pretty nitty and you can likely just steal his blinds most of the time and just fold to like all his 3bets.

in this case you could throw out a small bet say $8-9 being a ridiculously cheap bluff that might work more often than you'd think, or bet the turn if checked to twice.

i go bet/jam

I would definitely bet

9$

if you had been 4-betting with KK+ would you have made it 9.90 or more?

Read my first post and note the converter is messed up here. I wouldn't change my sizing based on my hand in this spot. I'd 4 bet my whole 4-bet range this size.

re your comment that firing two>firing one, carroters, do we really expect him to fold absolutely anything he peels a flop with in a 4b pot to a second barrel?

Possibly, depends if he flats JJ-KK to the c-bet. I don't really like firing 2 though having thought more about this.

id prob just bet once.

id prob bet 0 times

id bet once, expect to get enough folds from TT-JJ which imo is the biggest part of his range.. and in spots where I don't plan to barrel I just make it a tad bigger than usual, so ~13$ here

i d check back flop and bet turn when/if checked to