There are recreational dive computers which allow you to switch gasses underwater. The Suunto Vytec is one I know well, although it's no longer made. I assume there are others.One of my thoughts is also to use 2 computers. One set on air, and one that will have the settings for the gas in question. That way I can dive the profile of the "aircomputer" with the most conservative bottomtimes, and keep a good eye on O2load on the computer that has the gasmix plugged in. (This is just an idea, and I welcome any comments on it)
Underwater, you can let the Vytec know when you switch from your primary mix to a second (or even a third) mix. That would allow you to do what you're proposing with just one dive computer.
-Bryan