Allright, so it's Barkeep and putting it on the Mat first. I liked that better either way, it was just having to take a chance that i didn't like.
The coin variant solves this nicely, though i'm still struggeling to accept it's probably the best solution. Coins are just such a standard fix, and surely they are for a reason, but they seem a bit boring. Also i guess technically every terminal draw is taking a chance (though usually you can't lose, unless you have to decide between two terminals). Either way, the coin variant avoids something negative that doesn't need to be, so maybe i should just go with coins. I'd still like the standard bonus to be the way it is, see reasoning below.
Things i considered but don't want to go for:
For the first, i really would have liked to have a +buy card, but obviously having a buy on there makes it strictly better than Woodcutter.
The second is rather useless when you just have one, which i don't really want the card to be.
(Edit: I also considered a version á la Herbalist (just +1$ +1 Buy standard), but that was weak, and a Herbalist version that gave an action, which became too similar to Fool's Gold/Candlestick Maker for my liking.)
Also thanks for your valuable responses, i'm a bit weak on deciding today i'm afraid