It wouldn't work with Am... A natural minor is a white note scale A,B,C,D,E,F,G,A those sharps would clash with even a regular Am triad A,C,E.
Do whatever sounds good to you though that's the main thing
Bizarre scales are often fun when jamming stuff on your own but in a band situation you need stuff that conforms to a key signature so others can easily compose their bits. Otherwise its a bit of a freeforall and a poor bass player who can't stray too far from the root without a nasty discordant clang...