I really don't think it's required to have an education to be a coach. Deon Sanders is coach of Colorado, and I know people who were in school during his time at FSU and they said he never darkened a classroom with his shadow.
Its funny, at our last Christmas Dinner, my brother in law thought of a novel game. Most at the Dinner had university degrees. The challenge was this, in 5 minutes, jot down as many African nations that are on the current maps. The second challenge ID as many elements of the Periodic table. I won in a landslide, named 65 African nations, 101 Elements. Closest runnerup had 12 African countries, 32 elements I tend to read a lot, collecting coins is excellent tool for learning historical facts, like I know all my Roman Emperors from Augustus to Romulus Augustalus. That thing between our ears is incredible and stores vast amts of facts and figures.
Good for you. I've always felt that formal education to be a bit overrated. I dropped out of high school in the 10th grade and went on to own a business. I'm not rolling in dough but I'm happy and have everything I need. Everything I ever needed to know I learned through life experience.
I was in Iowa when I passed the CPA, old school two and a half day exam all at once. I think back then if you showed X years working for a CPA you could sit for it, or a bachelor in Accounting.