If I were Queen + Paul Rodgers, I would look at what songs were good here in the US, which is, well...not many
Belive me, all I hear of Queen on the radio is WWRY/WATC, Bohemian Rhapsody, AOBTD, and FBG (rarely). But I have heard nearly all of Queen's back catalogue, so anything that they play will be good to me, even if everyone else thinks it sucks. Hell, I'm probably the only one who will enjoy it if they play some tracks from Hot Space.
After seeing ROTC, I feel that including Brian and Roger solo tracks would be pretty cool, and they should keep the Free & Bad Company tracks that they have. Just switch the Queen tracks around.
I agree with what has been suggested. Songs like KYA and Innuendo would be pretty cool, especially with Paul singing them. I'm not sure what else would be good for them to perform though.
We can only grow the way the wind blows
On a bare and weathered shore
We can only bow to the here and now
In our elemental war
- Rush, "The Way The Wind Blows"