EDIT: forgot to mention to the OP, glad to see your thinking is going in a more practical direction though. If we get a "griffon" then maybe we can get a manticore, gorgon, hydra, and some other fun mythological beasties as vessels.
Still wondering why we don't really have any shark-themed ship names though...mako, tiger, thresher, hammerhead, etc etc. Perhaps a new manufacturer will explode onto the scene in our time of need...
Hydra will be a problem, since it is the name of a Thargoid Interceptor variant. Medusa is another, so Gorgon should be a "blocked" name as well. A different group of mythological creatures should work, starting with Banshee for example.