I've said before I'd do the following:
Boozer and #16 and #19 for Bass, Bogans, and Babb (since that makes salaries work).
Bass and others would likely go to a third team with cap room to create more room for Chicago. Assuming one-year of Bass has positive value to a team, you would have a 4-team deal:
Boston gets:
Boozer, #16 and #19
Boston gives up:
Bass, Bogans, Babb
Chicago gets:
Carmelo Anthony (S&T)
Chicago gives up:
Boozer, #16, #19, 2015 1st, protected Sacto 1st
Mystery team gets:
Bass, Bogans (waived), Babb (waived)
Mystery team gives up:
What Bass is worth to them (presumably 1-2 second rounders)
New York gets:
2015 Chicago 1st, protected Sacto 1st (top 10 protected through 2017)
Mystery team's assets (presumably 1-2 2nd rounders)
$20M trade exception
New York gives up:
Carmelo Anthony (S&T)
This deal probably begins as a 2-team deal on draft night, between Boston and Chicago, which is how Boston controls the picks. However, the deal would not consummate until after the moratorium. Chicago could then try to negotiate with Melo. If they succeeded in convincing him to come over, they could just send Bass et al. to NY, along with the picks. However, if NY is losing Melo, they're tanking and not wanting to add any salary, so they instead find the 4th team to take Bass for a few second rounders. This team may actually be found before reaching a deal with NY/Melo, as an existential threat to just send Bass to, allowing Chicago to sign Melo with cap room if NY won't go along with the S&T. It's existential because Melo may not be wiling to leave quite the amount of money on the table that would be required for NY to get shut out, which is why the Knicks are able to get two picks, albeit only 1 guaranteed, in the transaction.
On draft night, however, it still makes sense as just the Chicago-Boston piece, since this allows Chcago to save dollars (important to Reinsdorf, which is why there may be no amnesty) while upgrading their team (I think Bass is a better fit for Chicago than Boozer). For Boston, two draft picks is great. It really hurts their 2014 summer flexibility, however, which is why I don't think they do it for just one pick. I also think that at least one of their now 3 picks from 16-19 are used on a foreign player, to limit the number of 2014 rookies.
Also, I don't think this happens, because it's really complex and therefore unlikely. But if Chicago does trade Boozer, I think it will be a draft night trade that doesn't get finalized until after Melo is sorted out. I do think it will cost Chicago both of their 2014 picks. Whether it would make more sense for a team like Philly to be involved depends on if a) Bass does actually have the positive value of being worth 1-2 second round picks that I think he does, b) Philly is so set on tanking in 2014 as early as draft night to be willing to accept only one 2014 1st rounder.
I don't think NY will be willing to take on Boozer. It's better for them to play hardball and risk losing Melo. Being willing to take on Boozer takes away their leverage of dollars, which is what they can offer Melo, since he'd have to take less from Chicago to sign there even if Boozer was amnestied. Also, if they lose Melo, they're going to stink in 2015, so it makes sense to want to do that for as few dollars as possible. In fact, taking back Boozer may push them back over the luxury tax. The bright side for NY is that if they tank next year, they at least control their draft pick, unlike this year.