Hi,
Sounds okay to me if you're trying to earn playing dominated broadways without reads is usually a very bad idea, otherwise if you're trying to learn you might as well get involved in such spots at nl2 when the stakes are lowest and see for yourself why it's dicey to play those hands correctly, read downright unprofitable without reads.
As played I'd raise the flop slightly bigger and bet the turn like you did. I just don't think villain bet/calls the flop with complete air that often on that board, if he doesn't have Kx he's more likely to have some 33/A-high hand that he won't need to bluff with on the river anyway so you won't get much value out of that unless you check back turn and bet river then maybe they get more suspicious.
Problem is you'll lose the chance to get 3 streets of value out of worse Kx hands when doing that, which will show way higher profits than targetting marginal-air hands with a check back turn / bet river line. So unless you can discard Kx from his range somehow, like you've seen him c-bet more with top pair before or something, just bet bet bet.
Hope it helps.