Good tip from Wessie, as always. As far as I know the DAK hotel is still running, its website is certainly live.
Note: Whilst it does offer breakfast, it does not have a restaurant for lunches or evening dinner. I assume this has not changed. If it’s still the case, it’s an easy 15 to 20 minute walk into town, where there are restaurants to chose from.
The Morvan is a large area. Luzy (at the bottom southern tip) to Avallon (at the north end) is about 70 miles. Whether that sort of distance matches your estimated arrival time, I don’t know? If it doesn’t, there are plenty of hotels / guest houses to chose from. There are no cities per-se in the Morvan and what very few large(ish) towns there are, are easy to navigate. It’s not Tokyo, Istanbul or Delhi, trust me.