I have planted black raspberries on several sites around southeastern NY over the years and they've always burned out after 4-6 years. My recollection of my research at the time was that this was considered normal and probably the result of virus. No one suggested winter-kill. The advice was to eliminate all nearby wild brambles, but I didn't find that to be a solution.
[NAFEX] black raspberry die out,
Alan Haigh, 05/23/2009