The KOA in Streetsboro is a very nice campground. It will take you about 30 minutes to get to the R&R Hall of Fame. But, avoid traveling during the rush hours as the traffic can be very heavy and slow at times.
Another option is Punderson State Park which is a very nice state park with a lake and boat rentals. I'm not sure, but it would be a 30-45 minute ride over to the Hall of Fame.
Enjoy your visit to Ohio! We've been in OH for 3 years now and really enjoy the Cleveland area. If you get a chance to take in a concert at Blossom, it is an incredible place. Whatever you do, take some time to explore the Cuyahoga valley which is a huge park!
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"Get busy living, or get busy dying."
Andy Dufresne, The Shawshank Redemption