There are a number of SUNY colleges that are in various locations in the state, five or so hours away. SUNY-Brockport comes to mind. There are several colleges in Rochester--RIT, UR.
What course of study did you have in mind? Are you willing to go out of state, say, to New England (where there are a number of colleges) or to Pennsylvania or Virginia?
By this, do you mean preferably five hours AWAY from L.I.?