We have tried many times, even with really high status with american and United, they tell us that Radisson like all others buy at a "bulk rate" which can not be upgraded. Now, that is just our experience, you do your best, but we have always found even with alot of miles, that we need to upgrade with Radisson with cash (though Naire this time, works the best.... tough thing but we think it is worth it to get the trip going in the right direction).
Best of luck!!
Cindy