<< From what it looks like, the depth of each digit in the bodacian is A-Z0-9, giving a radix of 36. Since there are a total of 8 digits in each bodacion, that gives you 36^8, or 2821109907456, permutations to get a correct bodacion. But, since you can't guess, and since you can't know whether or not you've discovered a correct bodacion, brute forcing is futile.
Anyone else actually going to give it a shot? >>
After reading the info on HYDRA (which everyone should do before attempting this), I found that there are only 32 valid characters, thus making 1099511627776 possibilities. which is about 40% of the possibilities you stated. (IMO thats a hell of a lot less numbers to think about.) But your'e correct in saying that brute forcing is futile. I think that was the point.
I do like that the Bodacion people said to send them an email if you think you're close though.