Thanks for the suggestions!
We didn't end up going to the vet, a friend of mine who breeds SD's took a look at him and said it was no big deal. SD's push and damage their faces all the time. With the larger tub and good hides he should be fine.
After a couple days it was looking better, swelling going down and the yellow fading. He took a small rat and doesn't seem to be pushing anymore in the larger tub. He does spend a lot of time soaking in his water bowl though.
Update of his face.
He's also a lot more pleasant to handle than I thought he would be.
He does have a small case of mites we're taking care of right now though.
-Jessica