I watch Mike and Mike in the Morning rather often and Greenberg came up with a great solution for this issue:
Award the teams that try to win each and every game. The best team that missed out on a playoff berth gets the #1 pick. Second best team #2, and so-on-and-so-fourth. It makes perfect sense, really. Don't award the teams like Boston that lost games for a better chance at landing Durrant or Oden. To me, they deserved what happened to them during the Draft Lottery.