I dunno if this counts as necrobumping or not, but I thought I might share this idea regardless:
I think we all know an elephant'd be killer as a big body grappler, however we also know that they're anything but ungulates.
So what if...
...they were explicitly an outsider? Like, an alien to Foenum. I guess you could call it an aliephant, aha, aha.
Whether they are stranded or here on purpose, I don't know for sure, but seeing as elephants are known for their memory, I could easily picture this one being rather curious to their surroundings (doesn't even eat Paprika's gifts, just gets distracted analyzin' em, lol) so that they may bring the data back to whatever place they came from.
This way, we also get our character's "theme", as per how the roster's been more or less assembled so far (Shanty being the most explicit, since goats and the sea are not closely associated that much). I could see their name being chosen after astronomical terms, like, say, Cepheus, the constellation in which the Elephant's Trunk nebula is found.
Maybe we could have a grab extension gimmick, by sucking in foes with the trunk, kinda reminiscing of Iron Tager.
Or, I don't know, maybe we just get a rad boi with a yo-yo
As for other ideas that had crossed my mind, I thought of a long-reaching-normals giraffe, à la Dhalsim/Duo Lon (presumably, the limbs could also accordion themselves somewhat), but I had thought of accessorizing'em with those spirals Padaung women wear (it could even go boing like a spring upon neck extension, that'd be a fun thing), however, I've since learned that comparing them to giraffes is considered culturally insensitive, so, uh...yeah, no. I figure the neck could bend in all kinds of impossible ways (think Melman the giraffe from Madagascar) to fit on screen and provide more move designing opportunities.
Could be a male, since those fight more, but go tell that to Ari.
Finally, one I'm surprised to not see more, a tapir. Those have now been commonly depicted with having dream-based abilities through association with the Baku Youkai. This one isn't terribly specific, so you could make any manner of moveset from it, but the theme is pretty-much there and ready-made;
Helps that, out of all ungulates, safe for the aquatics, rhinos and whatever, tapirs are fairly unique looking. Pretty funny, actually.
Those are meant to be serious suggestions, but I'm happy to just express myself to begin with.