Yeah, I found a tutorial on how to do one in an Altoids can, but I wasn't really looking for a new project.
I guess my Google-fu is stronger today, because I just discovered the
PAC ASAI21 that looks like it might do what I want (
diagram). It goes the switching route rather than the mixing route, but it does so automatically, which might work out pretty well.
I'll keep looking for something that mixes or cross-fades or something, but if I can't find that, I can probably do just fine with one of those.