Rasheed will start, and we will likely try to establish him offensively against Beasley.
In the end, Davis might end up playing more minutes over the course of the game, as we use him for defensive purposes (yes, he _is_ better in guarding Beasley than any other big man we have on the roster), and Rasheed and Perkins split time at the C position.
Can't say I see anything bad with this strategy either.