Don't know where in NY you are, but we are about 45 miles north of NYC and we have tried to drive straight through and will never do so again! It may be only 20 plus hours mileage wise, but add in traffic (the truck traffic is horrendous and watch for heavy commuter times), breaks and such and you will want to scream.
We start early in the morning we stop in Santee, SC at either the Hampton Inn or Holiday Inn Express, they are both right off of 95 so it's easy off & on.
The next day we start out early & get to WDW and relax for awhile & then hit the park that has EMH that evening.
We have made this trip many times because my inlaws live in Florida and my oldest went to school in Tampa, my car can do the trip by itself. :lol:
PS... add the phone numbers of the hotels in the city you want to stop and call ahead for a room so there are no surprises (sleep in your car one night and it will never happen again :lookaroun)