that's a lot of chemicals that will potentially run into steams. have you considered an aerosol can of wd-40 with a grinder brush?
I think the grinder brush will damage the chrome finish, but that's a very good point about the amount of chemicals I'm about to produce. I know very little about chemicals, but can I neutralize that with some baking soda? That's what I've read you have to put on the frame after to neutralize what's left on the metal, so could I just add that to the bath? I'll have to think about that one a bit more. I don't really want to create my own, personal toxic waste hazard...