You might be crazy, but you're right about medicinal mead. Most of the commercial meads I've had were not-so-good, usually because they're too medicinal. I've had a couple really awesome meads without medicinal flavors, though, so it can be done. One of which was made by Schlafly.
A new pro meadmaker was showing off his wares at an AHA rally I attended, and most of his meads had an unpleasant medicinal quality. His buckwheat mead was especially medicinal, so I think it has a small amount to do with honey variety.
I was chatting with one of the partners about fermentation, what kind of ferm. kinetics they were monitoring and adjusting, etc. I mentioned keeping the pH in line, and he basically said "It ferments quickly enough we don't have to worry about that."
If you want to make your own mead, follow Curt Stock and Kris England's advice, and I'd bet you'll end up with a pretty good mead. My own meads were a trainwreck of off-flavors before I started monitoring and adjusting pH and using staggered nutrient additions, and above all, keeping ferm temps low.
The last batch I made ended up really limp and pepto-bismol-y, because I added too much alkalinity. I added grapefruit juice to it, and then it really popped. So like with winemaking, having the proper acidity level makes a world of difference. I think the grapefuit juice added a bit of structure, too. You might try using a wine yeast known for production of mouthfeel, like BM45.
I did some trial ferments with a lot of different yeasts, and found RC212 to be my clear favorite, though hardly any mead recipes I've seen use it.