From what I learned in my bachelor's programme of philosophy, your etymology of meta- is correct, and I have also read this elsewhere. But I have not studied the term myself. It might kind of work to have the intended meaning, though only if it is read as short for metaphysical; I would say that reading is less than felicitous.
Archi- would be related to Greek archê "beginning, first principle, sovereignty, power". I think the sense "first principle" is probably mostly limited to a philosophical context, but I don't see why it could not be extended. However, there exist many words using arche-/archi-/archo- (aequivalent forms) meaning "first in time" and "most powerful", so it might not always be read the way you intended it.
I think the most logical praefix would be Latin super, though, which means "over, above". In Greek, that would be hyper-, which is etymologically related. Cf. superorder in biology, which is a higher order in taxonomy; and hyperonym, which is a "higher name", as fruit is to apple.