Gramatically speaking, when you want to use a copula to modify a word you -can- say 友達である人 , but である is stuffy sounding, it's used mostly in writing, narration, and such. な as seen at the end of な adjectives is also a form of the copula, or perhaps it's better to say 'derived from the copula' since you can't use it arbitrarily and can't use it here.
In most cases of normal speech, I think you -do- simply rephrase to avoid modifying a noun with a copula form.
友達である人 is of course an unnatural phrase since it just means 友達 and is completely redundant. 友達の人 would also be redundant and isn't used. If 人 is replaced with Aさん though, then you can say 友達のAさん to mean 'My friend A'.
And yes, when な turns to に it's an adverbial construction (whether it's actually 'an adverb' or not is neither here nor there to me, it acts like one.) And yes, you can move the な形容詞+に construction to right before the verb. Kim is often vague on order because he argues that Japanese word order is completely flexible in that way, that is, freely reordering your をーmarked phrase with your にーmarked phrase, etc. for all the case particles. (は・が・を・に・へ・で・maybe others, I don't know if he meant to include particles like より・まで・から in that argument.) Of course, if you reorder too freely you may have an odd-sounding sentence even if it is comprehensible but it's not a bad working theory.