I also wonder if it's possible without kiting. On debir you have some spiders, some snakes, thorns and a few griffins to go around. That is a pretty poor army, and if you decide to play with a single griffin stack, you may not be able to outrun some enemies due to their low speed. That gives you a serious setback right from the start...
Otherwise, the challenge is interesting. However, some boss battles may prove quite a challenge with these units, because they have very poor resistances.
BTW, if you slap in the no lvl 5 unit constraint, how will you grow your stacks without losing a unit? There is no guarantee that vampires can leech enough life out of the enemies to get up to par when you sacrifice them to grow another stack. Evlin may cut it, but I'm not sure if it resurrects the extra creatures you got by sacrificing.
EDIT: On the second thought, my bad. It can be done, even if that requires a lot of mana. Get 2 stacks of vamps (single type or 2 types), use one to grow the other and then evlin to replenish the losses. That would require 2 fights to be effective, but that proves that there is a way.
EDIT 2: The next thing I'm wondering is how will you start growing your stacks when you'll have only a few vamps, because sacrifice hurts a lot. In general, there is still a way - use griffins or lvl 1-2 creatures, sacrifice them, grow the vamps and then use resurrection. That however costs even more mana to do
