Q.Hardiness of Muhly grass
We’re interested in planting a bed of Muhly grass along the western foundation wall of our house but are concerned about the toll NE Ohio winters could take. Various websites give differing information. I’ve seen “hardy to zone 7,” “Zones 6-9,” and “as low as 0ยบ.” we’re in Zone 6, 3 miles south of Lake Erie.

I see what you mean about conflicting information. Many extension sites, however, did include zone 5 in the hardiness zone for muhly grass. According the following website, "Hardiness depends on the provenance. For example, plants from a Florida population will not be as hardy as those from more northerly climes, so ask the nursery about their source." So that is something to consider.
http://utgardens.tennessee.edu/pom/muhly.htm
I would say go ahead and give muhly grass a try. However, I would take extra measures to protect it during winter. Do not cut the grass down when mulching - the foliage will help insulate the crown of the plant.
For more information on the care of muhly grass, please visit the following link:
https://www.gardeningknowhow.com/ornamental/foliage/muhly-grass/growing-muhly-grass.htm