Most people driving to Coshocton come from Columbus, about 90 minutes southwest on US-36 and then east on Ohio-16 through the rolling farmland of Licking County - it's an easy drive that doesn't require any particular planning and the road through the hills approaching the Muskingum valley from the west is pleasant enough that you stop watching the time somewhere around Millersburg. From Cleveland it's about two hours southeast, from Pittsburgh roughly two hours west through the Ohio hills, and from either direction the approach into the Coshocton valley has that quality of arriving somewhere that knows what it is.
No commercial air service reaches Coshocton and the nearest airports with meaningful connectivity are Columbus and Akron-Canton, both roughly 90 minutes away - car rental at either works fine and the drive to Coshocton from both is uncomplicated. For the kind of trip that brings people to this part of Ohio, driving is simply the correct mode because the Amish country roads, the canal towpath drives and the river access that make the region worth visiting are not accessible any other way, and the freedom to stop where the landscape tells you to stop is part of what you came for.
Getting around the immediate Coshocton area once you're at the motel is partly walkable for Roscoe Village and the river, and car-dependent for everything beyond that radius. The town is small enough that the geography makes sense quickly - main road, river, village, a few streets of actual Coshocton - and navigation never becomes complicated. For Holmes County and the Amish country to the north, US-36 takes you there directly and the drive itself is part of the point.
Public transport in Coshocton county is limited in the way that rural Ohio public transport is universally limited, which is to say it exists for residents who depend on it and is not a realistic option for visitors with any flexibility in their plans. This is car country in the specific way that the American interior is car country, and guests who arrive without one discover the limitations of the town's walkable radius fairly quickly and find it smaller than they hoped.
Parking at the motel handles everything without drama - boats on trailers, pickup trucks, the extended-cab situations that show up during hunting season, all of it fits and nobody has to make decisions about where things go. For the type of traveller that the motel consistently serves, this is one of those practical details that registers more prominently in the booking decision than amenity lists do.