Alright...it's been a couple of days, so here's a quick update before I head to bed.
Both fish seem to be acting a bit healthier every day, spending less and less time breathing heavily and sitting on the bottom. Both are also eating. I plan to start diversifying their diet over the next couple of days by trying to feed Formula 1 Flake, Reef Herbivore Pellet, ORA-Glo pellet, and frozen Mysis. Not all at once, of course, but I figure it can't hurt to get them something different.
Also I've heard of clowns becoming "hooked" on a food and ignoring anything else, and I know how important variety is in the diet of a fish.