BTN is unknown player which means he is probably not not good. Previously I just cbet every paired flop 33% and did not think about it twice, but now I am trying out some other things.
My thoughts in this hand are on the flop I am either way ahead or slightly behind and there are no turn cards that I really hate so I go for c/c to let him bluff and/or catch second best hand. Same thinking on the turn just now I raise AI to get rest of his money in with his semibluffs or overvalued QQxx or JJxx type of hands and if he has me beat so be it since I am not c/f river if I c/c here.
Do you agree with my thought process or should I have played this hand differently?

Omaha Pot Limit - €0.25/€0.50 - 6 players

UTG: €55.08 (110 bb)
MP: €45.10 (90 bb)
CO (Hero): €42.05 (84 bb)
BU: €16.76 (34 bb)
SB: €49.39 (99 bb)
BB: €114.89 (230 bb)

Pre-Flop: (€0.75) Hero is CO with K♥ A♦ 7♥ K♦
2 players fold, Hero raises to €1.75, BTN calls €1.75, 2 players fold

Flop: (€4.25) 3♦ T♥ T♦ (2 players)
Hero checks, BTN bets €3.50, Hero calls €3.50

Turn: (€11.25) 4♣ (2 players)
Hero checks, BTN bets €6.50, Hero raises to €13, BTN calls €5.01 (all-in)

you are not slightly behind if he has a T, you got 1:3

it depends on villain, if he tends to overbluff when you check i like your line...
if he is passive you have to fold the turn

People usually don't stab twice on these boards with total airball,and i dont think he's capabel of turning QQ,KK in to bluffs in this spot, he flats pre OTB so his range contains alot of Txxx type of hands.