Oh cool, so you have the CVNP to play in. I lived running/biking distance from the CVNP (Hudson) all the way through from elementary school to college. I spent a lot of time pedaling in the valley and ripping those roads on the Ninjette. Now I'm in Asheville in the shadow of Pisgah and Mitchell.
Once you get the bug for curvy roads, check out some of the fun stuff, Boston Mills road, Colmbia road, cruise up and down Akron-Peninsula and Riverview for scenery. Head out to Brecksville and check out Meadows drive. It's the curviest little road in the valley. Then Mid-Ohio is only an hour and a half south...
Another scenic ride is the parkway through all the metro parks on the Emerald Necklace.
If you're far away from the Valley, I'm sorry. The valley and the whole system of metroparks is really the only reason to live in NE Ohio and it's all that makes up for living in the freaking snow belt. It's also the only significant topography in the area. Probably the greatest idea ever when they were originally developing Cleveland and Akron. They're why I miss CLE, even with all the amazing forests and parks that I have now.
If you get really comfortable (might take you a while, no offense) and get tired of CVNP roads, there's some good roads south within an easy weekend morning ride. 555, 536, 255, 800, etc.