Persimmons have very subtle flavors so I would go with a basic American blonde ale, with 2-row base malt and perhaps 8-10% Crystal 20, maybe 10% wheat. I like the idea of a little cinnamon long as it is very subtle. A cinnamon stick in the boil or secondary might be too much. Maybe only add like 1/4 teaspoon for 5 gallons, something very slight like that. Gruit herbs and/or sour styles, I like them but in my opinion they do not belong in this beer. Ripe persimmons should be very sweet and that's where the Crystal malt comes in since the persimmon sugars will all ferment out. Maybe even add 3/4 lb lactose (for 5 gallons) for more sweetness and body.
Good luck.