Ummmm the way to find out how much something costs in an unnamed ”affluent” Ohio town is to get a quote from 2 or 3 vetted tile folks. Step 1, ask neighbours or the local Facebook group or whatever is common in affluent Ohio for a recommendation. Step 2 get a quote. Since it is such a low cost job (all things considered), if you like the first guy and the number doesn't seem insane go with him/her.....

Most actual tile pros have a minimum of at least 1.5-2K for a standard 35-40 sf splash. Your backsplash is 2x the standard splash size. Extra details like dark grout, herringbone, glass tile, etc, cause the price to go up. A HCOL causes the price to go up. Site logistics like a second floor, or not being allowed to cut close to the site, cause the price to go up.

https://www.ceramictilefoundation.org/homeowners-guide-to-hiring-qualified-tile-installer