Look at it this way:

We have a set on a rag flop. Villain has raised preflop and will almost certainly cbet if we give him the chance. How do we win mistakes here?

Stop thinking "I have to bet now or it might not go in if he has something", and start planning on winning those mistakes.

The first and easiest mistake to win is the continuation bet, which he only makes if you check, so start there.