OK, I have it. Trade Sheed, Cash, and a second round pick for Howard (2 years, 10 million) and Oberto (1 year, 2.5 million).
Then, a month after Bradley's contract being signed, trade him, along with Laffayette and Gaffney for Rudy Fernandez.
Sign a vet minimum backup PG like say, Eddie House!
And here we have it (with depth filled in by more vet minimum guys and rookies):
Rondo, House
Ray, Rudy
Pierce, Howard
KG, Davis
Perk, JO, Oberto