State tax filing

In regards to my previous inquiry, I cannot get a CT license because I have to keep my license address in NY because of property issues.  Would it be a problem to live in CT and still keep my drivers license address in NY?  I have been living and working here in CT for 3 years.  But, I have property in NY in which they will not accept my CT living address.    So, until this situation is resolved, I must keep my NY license.  So until that time, do I always have to do send in my taxes as a CT full time resident only and nothing for NY state, since I am not earning any income in NY?