Like if you are getting 5 total picks from NYK, I would assume 2 or 3 are the protected picks from other teams. Then 2-3 would be from NYK, I would expect 1 to be unprotected.How many unprotected picks would NY be willing to part with though? Bad teams generally don't do that... which is why you hope a good team gets bad because they are willing to do it. Heat have missed the playoffs 3 out of the last 8 years. So its not impossible.
Maybe just add in far out pick swaps. Bet that in 4-5 years you will be better than NYK. Less scary than giving up an unprotected for NYK. That way they still have a pick to make.