Canton area resident here. We have some really nice local public courses - Chippewa (Doylestown), Legends (Massillon), The Sanctuary, The Quarry (HIGH end 'target golf' course).....and some really good, decent 'cheap golf' like Lyon's Den, Tam O' Shanter, Turkeyfoot Lakes and The Elms CC. Heck, Firestone's public nine is a ten minute ride from my house if you want to say you 'played Firestone' (not the north, south, or west courses - just a nice little nine-hole track they have for the public on the far north end of the property).....hahaha.
If you are in the area, or passing through, drop me a PM and I'd be glad to host a round with you. I cover a sales territory and pretty much make my own schedule, so I'm usually available with a few days warning.