In a super ideal world, this is what I would do...
Apparently, the Nets are willing to take on bad contracts if they get a pick back, so the Raps could trade Carroll and their first round pick to the Nets for the Nets second round pick just to shed themselves of 15 mil.
I would try and re-sign all 4 FA's and if we do sign Ibaka, then JV is probably gone, because Ibaka plays much better at C. Trade JV for a starting power forward or small forward.
We could sign a free agent using the mid-level exception (which is what we used to get Sullinger last year)... Sign whatever position that was not filled in the JV trade.
That leaves us with a roster that would look like this
PG: Lowry, Joseph, Wright, VanVleet
SG: Derozan, Powell
SF: Tucker, Free Agent, Caboclo
PF: Return in JV trade, Patterson, Siakam
C: Ibaka, Poeltl, Nogeuira
Of course, this is my utopian world.