OP I am so glad to read you want to stop overnight, we have done this trip with our kids (youngest is now 14) more times then I care to think about

since early 1990's and in our opinion it is not worth the stress and being over-tired (and that will happen even with several drivers) to push all the way through to WDW without an overnight stop. It is well worth it to unwind, get a nice dinner & sleep in a bed

( I know people stop to sleep in rest areas but sorry, just our humble opinion, even if it has security and someone stays awake it is a situation that can be risky )
Our favorite stop both southbound and homeward bound is Hilton Head Island - - it is a longer first day drive from NY but we love the island and then it is just 5 - 6 hrs to WDW; we have DVC so sometimes we will stay at Disney resort but often I will bid Resort Category on Hilton Head with Priceline and will get either Westin, Marriott, Hilton or Crowne Plaza resorts ( all oceanfront ) for $85 per night & sometimes less depending on time of year; you just need to be sure that you will make it to HH Island for night you book when using Priceline because that reservation is non refundable. We leave home at 4 - 5 am and reach the island between 4 and 7 pm.
We try to stay in Hampton or Hilton Garden Inns or Marriott properties when on the roadtrip; they are usually cancellable up to 4 pm or even 6 pm on day you are supposed to arrive so in case you find you want to drive less or more than you anticipated the cancellation policy can be important.
We find Hampton/Hilton/Marriott to be consistent in quality and we earn points with their frequent guest clubs.
Here is some mileage and overnight stops by I95 we pefer; mileage is from our home here in southern most part of NY state :
Driving south :
Rocky Mount, NC Exit 138 / Highway 64 East / Winstead Ave. (near medical center) 460 miles *** we prefer this stop when we are driving back home, Hampton Inn / Marriott Residence Inn, Outback & Highway 64 diner; there's a mall nearby but we've not gone to it.
Dunn, NC Exit 73 520 miles : Hampton Inn, Sagebrush Steakhouse
Fayetteville, NC Exit 49 550 miles (our midway point to WDW) Hampton Inn / Marriott Fairfield, Cracker Barrel
Florence, SC Exit 160-A / David McLeod Blvd. / Radio Road by Magnolia Mall 640 miles Hilton Garden Inn, Hampton, Springhill Suites, Chili's & other dining across David McLeod Blvd. by Magnolia Mall
Hilton Head Island, SC Exit 8 775 miles *** it is approx 25 miles east from this exit out onto Island itself
as mentioned, we stay at Disney resort or bid Resort level category on Priceline or there is also a Hampton Inn on island and Holiday Inn on beach too OR closer to exit 8/just off I95 is town of Bluffton. SC which has Hampton, HI Express & plenty of dining & shopping too. Savannah, Georgia is just a bit further south (maybe 30 minutes) and also offers plenty of good hotels, dining etc.
Have fun planning & feel free to pm me if I can answer any more questions you may have
