Hi you're in the Full Ring section so you'd probably get better advice in the 6max or Fast sections (not sure if there is a Fast section).
But for my 2c. I'd probably bet bigger. The flop is wet so I'd bet more like 75%-80% and then barrel the turn with a pot sized bet. Putting max pressure on weaker Ks and draws.
As played since they just called a small bet on the flop they would have a lot of flush draws in range so check folding is probably fine. But again I'm a full ring nit and my advice is probably no good for your game