Speaking of rule changes...
I've kicked the idea around of doing an "auction" for the right to draft Lebron. It would give every GM a shot at him, and a panel could decide who won the auction (with the currency being draft picks).
The counter-argument to that is that a Lebron team that also had Wade and Bosh came very close to losing in the Finals, and would have lost but for a choke job by San Antonio. Therefore, having Lebron doesn't guarantee anything (which is why he's 1-for-4 in these drafts, I believe.)
Anyway, that's something to discuss in the future; it's not for this year.
Idea: Auction off the entire draft. If you go 13 rounds (or 15, or whatever) everyone starts off with 15 'points'. Points give priority in each round. If you don't devote a point to a round you go to a queue for last. The round is randomized according to the priority of points. Example:
15 total teams, Round 3
3 Points: Teams 1,3,5
2 Points: Teams 2,4,6
1 Point: Teams 7,8,9,10
0 Points: Teams 11,12,13,14,15
So you randomly pick from teams 1,3, and 5 at equal odds for picks 1, 2, and 3.
Randomly pick from teams 2, 4, and 6 for picks 4-6
Randomly pick from teams 7,8,9,10 for picks 7-10
etc..