Both for and against non-mammals: We've only seen Cats (tiger), rabbit, goat (ram), and monkey faunus. Possibly an Ox faunus as well, which also coincides with the below.
This has led a few people, myself included, to suspect that the only faunus types are the 12 chinese zodiac animals.
While that does support snakes and dragons, it unfortunately wouldn't help you and your desire for a scorpion.