I’ve never been to Menorca, but we spent a few days in Mallorca last year, and loved it. I assume Mallorcan wines are also available in Menorca?
Mallorca got some interesting indigenous grapes - Prensal Blanc (aka Moll) for white and Manto Negro and Callet for reds. The Prensal Blanc makes light, lovely and easy drinking whites, and is often blended with Chardonnay and/or Muscat.
The reds are really interesting - Manto Negro shares some similarities with Pinot Noir, being quite earthy, with cherry fruit, light in body and tannins and a fantastic acidic backbone. If you can find any in Menorca I highly recommend the 100% varietal from Bodega Biniagual. We had the 2016 and loved it. Their Gran Veran is another excellent one to try- a blend of Manto Negro and Syrah, aged in oak. These are the wines we tried at a tasting there:
The Callet is perhaps a little more complex, and I was recommended to seek out wines from Anima Negra. If you come across their AN1 (expensive) or AN2 (more affordable) - don’t miss the chance to try one. It’s a unique, aromatic, complex and very rewarding red!
Others worth mentioning: Memories of Biniagual - the red, white and rosé are all lovely wines, and great with the local food. And wines made by Bodega Maciabatle are good too.
I posted about the trip about a year ago, in case you want to pick up further tips from other people’s suggestions.
Have a fun trip!