Skeet, this is the best method for me on persimmons:
link
Read on near the last 4 pages, I have a tip on persimmon as to when, and in fact I have grafted 18 cultivars this year using the technique, and all of them grew, and 12 of them bear full sized fruits that I have already enjoyed this same year.
Be sure to apply fertilizer that contains Mn so that your persimmon grafts will easily unite.
For non-astringent varieties you can use:
Fuyu
Giant Fuyu or Hana Fuyu or Gosho
Ichikikeijiro
Izu
Jiro
Matsumoto
Sharon
Suruga