I'd definitely give the Clippers pick for it. I think people keep forgetting that the LA pick will be further down than Boston's.
Not necessarily true. If both teams make the playoffs, but Boston advances further, LAC's pick would be better.
Basically, teams that get eliminated in the 1st round pick higher than those that make it to the 2nd round (regardless of regular season record). Teams eliminated in the 2nd round pick higher than those that make it to the conferene finals and so on.
If we do trade a pick to Minny for Beasley, it would be wise to stipulate it will be the lower of our two picks (whichever pick that may be).