The Christmas Story house just keeps getting better as they've done a lot of improvements over the past few years. As a resident of the greater Cleveland area, I would encourage you to camp for a least a night or two and not only see the Christmas Story house but check out other venues that you might like such as the Rock & Roll Hall of Fame, the Cleveland Art Museum, Botanical Gardens and the Cleveland Zoo. If you camp at American Wilderness Campground in Grafton, you will be about 30-40 minutes from downtown Cleveland. The Streetsboro KOA is another option as well as Punderson State Park.
But, if you can't stop overnight and visit during the week, there is parking available at the house as long as your rig isn't too big.
2012 Newmar Bay Star 3302
Blue Ox Avail
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2015 Malibu
"Get busy living, or get busy dying."
Andy Dufresne, The Shawshank Redemption