I don't think there is anyone here who will recommend that you not disclose something, particularly if it can be located on a police record somewhere.
Your security clearance is serious business. Regardless of how good you are, how good your schoolhouse scores are, or how many medals you have earned, a lost security clearance will mean a forced conversion to a non-clearance rate. This is my experience, and I have seen it happen. Even if the Feds don't find out about it right away, you have to reapply for your security clearance after 10 years in the Navy, and they will find it.