This is exactly why I usually carry two stages even though I could deco out on one. For bigger dives, I think support is mandatory.
When all goes well, the deco is shorter, which is a nice bonus.
I suppose you could deco out on backgas, but man, what a pain.
I wouldn't switch regs with the other deco bottle unless it was the last option, because if the water going through it screws up that reg, then you have no deco gas at all. Using your buddy's left over deco gas is a good idea, and once that bottle is empty you could swap that reg onto your bottle. You'll have to pay for his reg service of course.
I haven't actually tried this, has anyone here tried blowing water through a reg under water? I hear the trick is to keep the purge open while you pressurize the reg.