What other methods to preserve persimmons?

I think most of them store very well, and better if they are not starting to soften prior to going in the fridge. I have some Maekawa Jiro that have been in fridge for well over a month. I pull out a couple to finish up every few days.

As far are preserving They all dry excellent. I think the non-astringent in general dry better, but don't wait until they soften to slice and dry them.

You may want to try freezing a non-astringent persimmon, and then thaw it out a few days later to sample it. If it suits your tastebuds, freeze a bunch of them for future eating.