How to drain 454 radiator without a mess

I have a 1994 Winn. Adventurer with the Chev. 454, and it's time to do my first cooling system flush and fill. The radiator drain has a tube that could take a hose, but it is right down against part of the support/frame/housing. I tried just opening the drain and coolant ended up running down all over the place, since it ran on top of various things and found many ways down. Does anyone have any tips or tricks for this basic service, other than just letting it run down the driveway to the storm sewer--just kidding, I'll bring it someplace before I do that.

Any help will be appreciated!

Steve G. in Roseville, MN