They would obviously also trade contracts along with those draft picks. My guess would be a few draft picks along with Bradley and Zeller. So guess my depth chart posted would be slightly different but those 2 are not a big part of that. They also could dump 1 or both of those guys to another team if Chicago didnt want them. That would give them room to take on Butler and have room for a max player just fine.
That would put them right around 70 million after they give up the rights to Olynyk and sign their #3 pick which is around 4 million.
It'd actually put them at 72.6 million, and after a 30.9 million max contract, 103.5 million. They'd have to dump another player at the very least.