Davis would have to demand a trade and pretty much say Boston is the only place he wants to go. Then Boston would have to sweeten the offer a great deal and can't include sign and trade players, because New Orleans would want to make all of the draft picks themselves.
The best I could come up with is this
Davis, Asik, Ajinca
for
Amir, Smart, Olynyk, Rozier, 2016 BKN, DAL, BOS, 2017 BOS, 2018 BKN
Again assuming Davis demands a trade to Boston, that is probably a reasonable enough return for them.