When i check turn villain double barrels anyway to eliminate flushes from his range what line should i be taking ?

partypoker - $0.50 NL - Holdem - 9 players
Hand converted by PokerTracker 4

Hero (UTG): 59.06 BB
UTG+1: 38.42 BB (VPIP: 19.44, PFR: 5.56, 3Bet Preflop: 0.00, Hands: 36)
UTG+2: 113.66 BB (VPIP: 12.66, PFR: 7.59, 3Bet Preflop: 9.38, Hands: 79)
MP: 100.24 BB (VPIP: 10.17, PFR: 8.47, 3Bet Preflop: 0.00, Hands: 59)
MP+1: 100 BB (VPIP: 12.44, PFR: 10.53, 3Bet Preflop: 4.00, Hands: 211)
CO: 129.58 BB (VPIP: 45.71, PFR: 20.00, 3Bet Preflop: 7.69, Hands: 36)
BTN: 163.22 BB (VPIP: 40.63, PFR: 21.88, 3Bet Preflop: 9.09, Hands: 32)
SB: 139.24 BB (VPIP: 9.09, PFR: 5.56, 3Bet Preflop: 3.27, Hands: 403)
BB: 101.1 BB (VPIP: 16.75, PFR: 10.66, 3Bet Preflop: 3.13, Hands: 197)

SB posts SB 0.5 BB, BB posts BB 1 BB

Pre Flop: (pot: 1.5 BB) Hero has K K

Hero raises to 4 BB, fold, fold, fold, fold, CO calls 4 BB, fold, fold, fold

Flop: (9.5 BB, 2 players) Q 7 T
Hero bets 6.78 BB, CO calls 6.78 BB

Turn: (23.06 BB, 2 players) 4
Hero checks, CO bets 16.44 BB, Hero calls 16.44 BB

River: (55.94 BB, 2 players) 3
Hero checks, CO bets 26.58 BB, Hero calls 26.58 BB

CO shows T A (One Pair, Tens) (Pre 29%, Flop 23%, Turn 27%)
Hero shows K K (One Pair, Kings) (Pre 71%, Flop 77%, Turn 73%)
Hero wins 103.66 BB

The question I am asking is really when I bet flop with overpair to board villain flats, on turn flush draw gets there has villain a lot of flushes in his range or how you eliminate flushes out of his range when he bets turn and river ? Any thoughts be grateful as how to eliminate flushs from villains range in general when he just flats flop and draw hits turn ?

You can't eliminate flushes from his range. You can make his range include more non-flushes by doing as you did - check/call versus betting out.

When i check am i not inviting bluffs? if someone hits flush will they usually check, bet river or double barrel? Would you of checked call twice ?wasn't sure where i was at at the river ..IF i just check call turn and river and he bets big twice am i not just leaking chips?

Shove turn for value obv, this way you will eliminate flushes unless you get called which means he prob has a flush, but even then your not in bad shape because you still have a nut flush draw with Ad or second nut flush draw with another diamond

what? hope this is a troll but you can not shove for value if everything that calls has you beat....

if you want to make it unprofitable to call whit flushdraws then sure overshove, but this would be pretty horrible since you want them to bluff, preferably two streets so you get more value from your overpair.

hard to give unbiased advice when you include results in OP (which is why you most often should not do that) but hand is played fine imo.

I only realised that when I had it posted that I should of left out my kk but I'll know for in future thanks. But on the flip side if he had flush what other line would he take bar bet turn bet river . Should I still be check calling turn and river ?

I had the kk not the draw ?villain has pair and nut draw On turn

he seems fishy and not too aggresive so yeah, I would call his double barell unless he go much bigger than half pot otr.