The abilities the Statue has in ladder (Spirit Touch and Essence of Blight or something). There are also some autocast summons which could work (carrion beetles and skeletons), but you'll have to work something to have a dummy corpse around for them.
Hmmm. I think I can stick a dead corpse somewhere in the map and put the abilities range to 99999. And I think I can also put a unit with 1% life constantly in the map and the ability with 99999 range again. That would work, right?