Wouldn't any low-end multi-room solution with IR distribution work (you mentioned low end). If there was a controller in each zone with an eye, a hand held remote could be used to change channels (up/down) by relaying the signals to where the multiple satellite radio recievers are and the multi-zone equipment (possibly some additional routing as primary areas may want the controller present which just means routing IR a bit, maybe someone has some experience with a cleaner approach).
You could take it up a notch and work in touchscreens if appropriate (I think cinemar has some satellite specific options there) which could link into the IR control on the back end. This way you can use any multi-room setup as direct integration with satellite will add cost.
Someone here recommended HTD, and the prices seem reasonable, might want to take a look:
www.htd.com
I have no experience with the above, but my house has a Harman Kardon multi-zone system (pre a-bus) which has the IR eyes in each room (I have not extended it as I mention above though as it is not suited either since it is not true-zones).
An option. Hope this helps.