Staying within the realm of possibility (because I could dream of signing Wade for the MLE and trading 'Sheed's contract for LeBron in a S+T), my ideal team would look a something like this:
Rondo/Nate/Bradley
Ray/Miller
Pierce/TMac
KG/Baby
Perk/Haywood(or Shaq)/BigBen
For Mike Miller, S+T with Washington for a S+T of TA, 'Sheed's contract, a pick or two (whatever gets it done, 2 seconds, a future first, whatever) and maybe some cash. Unlikely I suppose, but to give Washington a draft pick, a defensive stopper, and cash for basically nothing, why would they turn it down. Plus we could give Miller more than the MLE, which will entice him. IF that doesn't work, offer the same package to Atlanta for Childress.
Then getting Haywood for the MLE would be a longshot, but if that won't work, I guess I wouldn't mind Shaq instead.
I'd love my chances next season with those 12 (fill the remaining spots with whomever, Harangody/Gaffney/Lafayette....heck, can we keep Scal on the sidelines for morale? That's worth a vet min deal, no?)