Check with the extended stay hotels as well. you may find as good a "deal" with one of them vs a trailer and finding camping sites available. It is coming up to closing time on Long Island for many camp sites and far too many of them might require residency for getting in or else for better rates.
But the FIRST place to check is with Stony Brook Hospital. You may even find short term house/apartment rentals to fit your needs since there are a fair amount of September through May rentals for "off season" rates.
