Hi there. The beautyberries are starting to ripen here too!
I had the same problem finding a recipe back when I was looking for a recipe for Beautyberry wine! After discovering that the American Beautyberry is also-known-as a French Mullberry, I found several recipes. I haven't looked lately but you can probably find several recipes for French mullberry wine.
Here's the recipe I've been saving - I hope it helps.
I still haven't tried it but this year looks like a good time to try! It came from an old Mulberry recipe... Enjoy and good luck!!
BEAUTYBERRY (FRENCH MULLBERRY) WINE
4 lb mulberries
4 & ½ Cup sugar
1 t yeast nutrient
1 t acid blend
1 t peptic enzymes
1 campden tablet
1 pkg pasture red (or RC-212) yeast
1. Crush the fruit in the primary container & pour in all the additives and the sugar.
2. Stir together well and top up to 1 gal w/ hot water
3. Let sit and cool and the sulphate (campden) dissipate completely - about 24 hrs.
4. Then add the yeast to start the fermentation.
I also have a recipe for Elderberry wine that I'm thinking about trying with the beautyberries. Actually, since it doesn't call for all those additives, this is the one I am leaning towards trying with this years harvest. All it calls for is 3 gallons of elderberries, 1 packet of commercial wine or champagne yeast and about 10 to 12 pounds of sugar... seems easy enough! LOL