Don't know if there is a non-compete law is in Rhode Island now, but there that law was in my situation. I had a broadcast lawyer representing me. I believe now, there is no longer a non-compete law in Mass.( You cannot deny a person a right to make a living) Don't know in Rhode Island.
But I believe, contract, or no contract, if they want you out there is usually some loop hole buried deep in the contract that gives them that right.