In the offseason before the '06-'07 season, I posted an idea of trying to trade Delonte straight up for Beidrins. i got laughed off the forum with comments like "Beidrins is a stiff, Delonte is a Baller," etc.
Of course, Beidrins is one of the better all-round centers by now.
This time, if 'Sheed is demanding close to the full MLE, I say go for Gortat instead. Take a look at this:
Beidrins, first 2 seasons.
Gm: 30 Mn: 12.8 FG: .537 FT: .475 Bk: .8 R: 4.0 As: .4 Pt: 3.6 PER: 14.8
Gm: 68 Mn: 14.7 FG: .638 FT: .306 Bk: .7 R: 4.1 As: .4 Pt: 3.8 PER: 13.7
Gortat, first 2 seasons.
Gm: 06 Mn: 06.8 FG: .471 FT: .667 Bk: .2 R: 2.6 As: .3 Pt: 3.0 PER: 20.0
Gm: 63 Mn: 12.6 FG: .567 FT: .578 Bk: .8 R: 4.5 As: .2 Pt: 3.8 PER: 17.4
In Beidrins 3rd season, he went to:
Gm: 82 Mn: 29 FG: .599 FT: .521 Bk: 1.7 R: 9.3 As: 1.1 Pt: 9.5 PER: 16.2
That sounds close to what Gortat could do.
Now, a few points. When Beidrins got more minutes, his per minute production went up. Probably, this is because he was very young and still rapidly improving. Thus his pure numbers and his PER increased. Gortat is older, so I wouldn't expect his per minute production to go up like Beidrins. However, his per minute production/PER is already very high, so just playing more minutes he should be very productive. We could certainly offer him about 30 minutes a night between center and PF, then address the 2/3 backup position with the LLE/Vet contracts/trading our expiring deals (Nocioni?)
Anyway, that's my two cents. Get Gortat with the MLE if possible. 'Sheed can be option 2. Of course, good luck convincing the players of that. Veterans like to stick together.