Just my suggestions:
Ohio is really close and there is a ton of stuff to do there depending on what your looking for. Rock n Roll hall of fame, Numerous Zoos and Aquariums around the state, Water Parks, & Cedar Point Amusement park.
"Driving distance", how far to you want to go?
Maryland and North Carolina are not really that far if you have time to stay a few days.
Out of the 2 areas I'd recommend Outer banks North Carolina (especially relaxing in the right spot) Plenty of beach, fishing and tourist sites.
OR Ocean City Maryland. Great Beaches and activities, para sailing, Fishing charter, amusement parks along the boardwalk and elsewhere. The kind of element teenagers like "cruising". Maryland is also in very close distance to Washington, DC. DC has a plethora of the nations best museums to visit and most of them are entirely FREE of charge. Many of them- you could spend a whole day or more in just seeing one or two.
A trip to that area you can really mix it up with the excitement of the nations capital and the summer beach vacation everyone enjoys.