How about this deal:
Kings get: DeRozen, Ingram
Bulls get: Duarte, McDaniels, Huerter 1st round
Pelicans: Barnes, Vucevic 1st round
Bulls get 2 expired contracts and Huerter they like. Get a 1st round for shipping out Vucevic
Pelicans get Barnes and a center they want plus 1st round
Kings get DeRozen in around $19-20mil contract and Ingram. Hopefully, this doesn't get over the tax apron
To follow up on the financials here, under this deal we would be sending out a bit less than $45.5M of salary, meaning we could take back a bit under $57.1M. If you subtract Ingram's deal from that number, we could give DDR a max of $21M in the first year of his deal. In order to do this all, we would have to use the "Expanded" trade exception, and we would be hardcapped at the first apron. But it looks like this would come in at about $500K under the first apron...so it would work from our point of view.
Chicago is sending out $41M and bringing in $27.5M, so they're fine.
New Orleans is sending out $36M and bringing in $38M, so they're fine.
Obviously the question would be whether the various parties would agree to such a deal. DeRozan will definitely feel lowballed. The Bulls send out Vucevic to get salary relief and Huerter and a pick...they may actually find that acceptable. The Pelicans get Vucevic, Barnes, and a pick for Ingram, who they weren't planning on bringing back. Outside of DDR, everybody might actually like that deal OK.
The Kings would be:
Fox/Carter/Ellis
DeRozan/Monk
Ingram/Colby
Keegan/Lyles
Sabonis/Len
We would be forced by the hardcapping to fill out the rest of the roster with minimum players, but that rotation is pretty close to the best we could hope for. Kind of a dream scenario when you get down to it, but it looks like financially it would pass. The problem is DDR probably doesn't want to come to the Kings for $21M.