Cbetting after 3betting and getting called by a tight opponent

[ChipFish]

Have you been at the table long?
If so how's your image?
Have you been playing just as tight as him? Tighter? or Lagging it up?

Assuming I haven't gotten out of line lately, I c-bet all 4 hands on the flop.
The turn is where things change for me.
It's checked to me, I check the turn behind a higher % of the time then not.
If I cbet the flop with AK or 10-10 what can I beat that he calls?
If I cbet the flop with 7-7 I am more than likely beat.
If I cbet the flop with 8-9 I am more than likely beat.

If He's just floating a call on the flop, well good for him. He's tight, and it's possible he's floating with A-K but not much else. that I can beat here.

So yes, I check the turn and hope to hit the river.