I've been thinking about a similar proposal, I just never wrote a post. We shouldn't be giving up Sully. They can take either KO OR Perry Jones, the Minny 1st, & the 2nd rd pick we got for PJ3. The Bulls already have Gibson, Gasol, Mirotic, & Portis. Adding Zeller to their front court to back up Gasol would be good enough.
I'd say:
To CHI: Bradley, Turner, Zeller, PJ3, MIN 1st, future 2nd
To Bos: Noah, McBuckets
This trade will open up more minutes for Rozier & Hunter. One of our bigs (Lee, Amir, KO, Sully) would end up being traded. I say we keep Sullinger because this will be his best year yet. Olynyk will have the hardest time cracking our big man rotation so I say we make a separate trade involving him.