There really isn’t anything close to the HOF.
I’m from the Cleveland area and was there recently. My ideas are seeing parts of Cleveland many don’t see or experience but are on your flight path.
There are many hotels near the airport and many offer shuttles to the airport and will take you to the car rental center too. Moxy is where we like to stay if we can’t stay with fam. We drop the car off the night before due to early flights back to the west. You are also close to all the freeways. It’s easy to get around Cleveland, it’s not LA.
The west side market opens early and is a great place to buy food, much of it ethnic based. All sorts of stuff can be had, and across the street there are fun coffee places. You can hit the market before the HOF.
If you have time. After the R&R HOF, you can head to little Italy on the east side. Nice authentic Italian restaurants. Many have been in biz forever. There is Lakeview cemetery where you can see the grave of Alan Freed (which is a granite jukebox) and if open, the Tiffany designed Wade Chapel. President Garfield is buried there and it’s a very impressive building. It was closed due to renovations, but maybe open now. Drive back to West side if you stay near the airport. 45 minutes.
Canton will be about a 90 minute drive. You will love the Football HOF. I’m not into football but enjoy visiting the HOF.
Again, if you stay on the west side, driving back from Canton, you can hit Whiteys in Richfield. Excellent burgers and chilli. Bring cash, last time I was there they were still cash only. The burgers, brews, and booze won’t disappoint.
Have fun!