Competing against a strong 1C-opening is a delicate business. You try to make life difficult for the strong side by taking away space and/or add some confusion to the mix. There are two inherent dangers to this task: getting caught for a number or revealing to much information that can be used to find/avoid level/strain or helping out declarer.
It's often a matter of providing just the "right" degree of annoyance. Here's a deal from the Antalya round-robin where opponents went to the well one to many. I had:
Partner opened 1C and my RHO overcalled 1NT showing C & H or D & S. I passed as our agreement is that any action is forcing to game and the next guy jumped to 3C (pass/correct). Freddan jumped to 4H and after pass, I couldn't find reason enough to bid. I had a seriously good hand but partner may be just taking a shot at game, hoping/expecting something useful in dummy. With a very strong hand, partner do have the option of doubling 3C.
When my LHO backed in with 4S (now knowing that his partner had D & S) and partner pushed on with 5H, I was handed a blueprint (partner void in spades, not too much in D) and I had an easy raise to 6H.
I would've just overcalled D's with that East hand. I don't know the auction at the other table but slam wasn't reached.
There's a fine line between competeting and overcompeteting. Try not to cross it.