It completely depends on who the third player in the equation is.
If you look at the rightfielder thread from Mike, all those guys make about 9-20 (-) plays a season at RF. Moya goes about 6 (-) plays per season at 1B, and that doesn't account for the fact that (-) plays in RF probably cost more bases than (-) plays at 1B. So in a vacuum, it makes sense to play Moya at 1B and Becker at DH; it probably saves 5-15 runs a season.
But the kicker is, whom can you get to play 1B if you play Becker in RF, and whom can you get to play RF if you play Moya at 1B? I mean, if you had a stud legitimate RF on the team this wouldn't even be a decision. On the Yankees, Jacquez seems to solve the 1B problem, and I don't see a plausible RF (didn't run your minors) and you should therefore play Becker in RF.