Well, there's still Town and Scum, and dead scum can still read scum QT, so I think the strategy would be similar to normal mafia while providing enough new twist to be interesting.
My idea is that corpses cannot communicate to living players except through their vote.
The obvious strategies for Town are lynch a majority of towns into the graveyard, or shoot the moon by putting all scum into the graveyard. For scum, the best strategy would be to appear Flemish, or get all but one scum into the graveyard.
Also, scum would not have a kill every turn, and would probably not be able to suicide.