Not possible to use new artifact whips for self-flagellation
It's not possible to use any of the new artifact whips for self-flagellation. The black whip of extinction and the "Bloody Rose" cannot be 'U'sed or equipped in the tool slot. The whip of the vampire snake can be equipped in the tool slot, but using it as a tool only gives a "You are already wielding the whip of the vampire snake" message.