The mid-atlantic beaches... from Newark DE south is rural, flat, beach-y, and not insanely far from Ohio. It's where I grew up riding. Head down from Route 9 at the C&D canal.

from google images "Delaware Route 9"







Alternately, head down route 213 down the Eastern Shore of MD. Nice riding.







http://www.aaroads.com/guide.php?page=s0213md

Figure out transportation over the Chesapeake Bay bridge/tunnel and keep on riding south until it's time to head back... You could really get into North Carolina and back I think. It takes 1 fast paced long day to ride Delaware top to bottom. I did 2/3 of it in a day when I was 12...

Northern DE and the Eastern Shore my old stomping grounds, get in touch if you'd like to tour there.