Go to each states Dept of Trans web site and check out their tollway information. Their pass names may be different, but I bet that all of them honor the one you have from New York. If you don't have a transponder, check out the deals from any of those states that can be used in the others, before just assuming you have to have a New York one. You may find a good deal. Beware, some states, like New Jersy, charge a monthly fee for inactivity. So if you don't think you'll use it often, stay away from those places! I missed a deal a few years ago where Ohio was offering to put an additional $25 on the transponder, just for signing up!
I originally got a Jersy one, and used it all over the East Coast and then back to Minnesota. Later traded for one from Illinois, and have used that from Minn. to New York, down to Virginia, and up to Maine.
All of them automatically detect you have a trailer, and charge your account automatically, so you can always go through the EZ-Pass (or whatever it is called) lane.