Owls of the Apocalypse

Question: Could you potentially burn Nemean or Typhonian Beast simultaneously with Epic Enhancement to get creatures that are awesome in traits besides Strength and Stamina?

Alas, no, you could not. Epic Enhancement specifically applies only to mundane animals, not Nemean ones, and that's intentional. A Nemean beast's lack of mental or social traits is the major limiting factor that prevents it from being monstrously overpowered for a Scion to have access to; it's awesome to make a creature that's a physical juggernaut to fight your battles and perform your feats of strength for you, but if it can also outshine everyone in the other arenas, it's very quickly becoming more effective than your bandmates or even yourself, which is not the intent. Nemean creatures are powerful and useful but not very bright.

You can make very intelligent creatures with Epic Enhancement, though! That's where you get your magical creatures that are awesome at things besides Strength and Stamina, but you need to start with a normal animal as your base to prevent things from getting out of hand. If you want to enhance a normal grizzly into some kind of Einsteinian Science Bear, you can do that, and grant it at least a few physical powers to boot if you roll high enough. But you have a limited number of successes to pass around to various traits when you're enhancing your Nobel prize-winning poet turtle, so you have to choose what you want it to excel in the most. If you were able to layer that on top of a Nemean creature, you'd be basically getting all the points you were going to spend on size or physical capabilities for free and then some.

There's an exception to this rule, however: if you have a Birthright creature, you can use Epic Enhancement on it (one time only), even if it's already Nemean, to represent that you're much closer to this particular creature and let you sink some resources into enhancing your animal Birthrights just as an Industry god might sink some energy into enhancing her relics. Sowiljr actually did this for Ull a while ago, so the giant grumpy mountain bear now also speaks Latin and finds the other bears disappointingly pedestrian and below his intellectual level.

But otherwise, unless you're fielding The Beast to create your unstoppable animal forces, no dice. Epic Enhancement and the boons that create Nemean animals are meant to be used for different purposes and to show different kinds of your power over animals, not to pull off cheesy combo moves.