You guys are saving me a headache, I thank you! When I'm speaking with the schools, they don't seem to quite "get it." They see everything in black and white and don't understand that I have ZERO engineering experience. Since I'm in an unusual situation, they don't know what to do with me.
So based on what you've said, I am going with the bachelor's. And I really don't see any other way, now that you mention it. I would get raped and pillaged in graduate level engineering courses. When I explained this to a counselor at USD, she admitted that her husband was in EE, that he is very smart, and he is having trouble with the undergrad courses.
So yeah, it will be a long road. But it will be ok.
As for what schmoo and smgsmc were saying, wow! I don't understand it, but I'm glad you told me. That is something that no college in this area would tell me. And it's definitely not something intuitive; I would never imagine that the GRB would be ok with a bachelor's but NOT a master's from the same program.
This is posted elsewhere too, but anyone who is reading this post and is curious, here is a link to the GRB:
http://www.uspto.gov/web/offices/dcom/olia/oed/grb.pdf