To me the Pelicans have two main options: 1) Trade AD for as much youth/assets as possible and rebuild with Zion or 2) convince AD to stay and maybe hope Randle doesn't pick up his option and try and get another good player to round out the roster going forward. I think the first choice is better as I think Zion's prime will not quite hit until AD is a little older, and I'm also pretty sure AD still wants out even with Zion. I'd probably try to leverage the Knicks with the # 3 pick, Knox, and Mitchell Robinson (maybe DSJ if they feel he is going to be good) and involve a third team perhaps to try and get a good young player or two and/or more draft assets. They can and should make sure they get multiple first round picks if possible.
You have to match up a 27 million dollar salary within roughly 125%, so you need to include enough players to make it work. I'd also try and force Solomon Hill out in a trade (difficult because now you are talking about 40 million going out) if possible and also a third team because I'm not sure the Knicks young players are all that enticing. I personally would at least try for Barrett, more picks, Knox, Robinson, and Ntilikina, and hope the Knicks can garner more assets for DSJ with a third team. The Knicks might not mind that if they can sign 1 or 2 max stars to come along with AD. That would be a formidable enough team perhaps to sacrifice most of their youth.
I'd probably avoid the Lakers unless as a last resort as the 4th pick is good but not as good as # 3 obviously, and Ingram I avoid because 1) his health and 2) his contract is up the following year and you'd have to pay him a lot more or lose him so maybe leverage Lonzo (if you don't like him involve maybe Chicago for their pick and/or another young player you like better as a third team) and Kuzma as two potential pieces of a larger trade. You probably need Lonzo's salary - or an equivalent - to realistically make it work overall as part of a package. I personally like Lonzo as a decent PG down the road, but likely the hassle of just his father alone is not worth the headache for a franchise like New Orleans. I like Kuzma a lot as a 6th man/scorer type but not a great player, but still pretty decent. But say Gardner at 4, and Kuzma, and Lonzo plus more for AD? That doesn't sound that great.
I think Boston is out given that Kyrie is most likely gone, and Ainge is more unlikely to leverage so many assets for a very likely one year rental.