A Dutch friend of mine is waiting for this ferry in the Georgia -> Ukraine direction right now so I asked him for some details:
- Company name: UkrFerry
- Ship name: Greifswald
- Boarding time in Batumi: 10pm
- Quoted duration of trip: 60 hours
- Price: USD $170 for a bed in a 2-bed cabin
There were also 4-bed cabins that were only a few dollars cheaper.
Thanks very much to Rowan for letting me grill him. I'll add any more details and possibly photos later if possible after his crossing.