Good, I was just wondering how Eurytheus Acts, but that makes sense, so the only way to make him "unkillable" is by using Chirons power.
Or Persephone. You can imediatly redraw a Card....imagene an underworld Team which has Hades and Persephone with Sisyphus on their side....back that up with some fast dieng troop (Centaurs or Hounds) and maybe with some troop destroying Units (Circe or Minos)...
That could end up beeing a tought fight...