IMHO, it’s the bottle that makes the difference. Any cheap brandy would work. Maybe drop some RedHots to dissolve in it to give it a slightly off color (and a bit of spice) would be fun. (It’s supposed to be a little sweet.)
Googling it, it appears to already have pretty pervasive cocktail recipe that includes vodka, orange zest, sugar, and maple syrup. I wonder if it’s from one of the licensed books? I know there was a Neelix cookbook at some point.
No, the green booze in TOS (the episode By Any Other Name) was unnamed. In TNG, there was a green beverage identified as Aldeberan Whiskey, which is likely what Scotty was drinking in BAON (since that scene was referencing BAON).
That recipe only uses 2 of the 4 ingredients, and not all of one of those. I can only assume there should be a line about mixing everything together at the end. I suppose you could strain out the orange rind, or store it in a LavaLite ™ for effect.
IIRC there was an episode of DS9 where it mentioned as no longer illegal after the Federation-Romulan alliance was formed. I always supposed that it was illegal because of a trade embargo, like Cuban cigars, and not because it’s worse than other beers.