Mark, it matters not whether you leave those cuttings bagged, wrapped in newspaper, or their cut stems sitting in perlite. Keeping the cuttings dry is the important thing right now. I still like the idea of you trying to root them, but I am being selfish. I want to know whether it can be done since I have never been successful doing so.
I know what you mean by these cuttings being special. I brought back three tiny "sticks" from Maui 25 years ago, rooted them, and I still have those three plants. Their bases are huge (6" in diameter) but I have to take cuttings from them every summer/fall to keep them within 7' tall. Like you, I have to bring all my tropical plants (1000) in for the fall/winter months.