If you want a more exotic sounding name, you could always use the term Americana. I know if you were selling the birds it would be best to use EE, because customers couldn't see the different spellings, and I doubt most would realize the difference if they did see it.
Araucanas are the ones with the feathers growing out of the ears, which I think is stupid looking, but that's just me. I've never seen one, personally, and I've only seen real Ameraucanas at shows. I believe I read that Ameraucanas were developed to get a chicken that lays the green/blue eggs without the lethal gene that Araucanas have. In Europe they have Araucanas with tails, but I don't know if this is the same breed of chicken or a version of it they developed and accepted in their standard.
I hatched out a group of EEs a long time ago, and though most of them were obvious mutts, I had one that actually looked exactly like an Ameraucana. I knew she was a mutt, but I doubt most people could have been able to tell. She was a doll, and I couldn't have loved her more had she actually had a fancy breed name.