I've used the Alton Brown recipe several times, most recently last week. It produces a very very tasty gyros. First time or two, I ground arm (chuck) chops; this last time I had a leftover half-leg. It wasn't quite fat enough, but still worked out ok.
I let it chill over night and then put it on my electric grill right up against the element. I did not use foil. If you rotate the roll soon and frequently, it will maintain its shape without the foil. Otherwise, you're basically steaming the gyros, not grilling it.
Putting a couple of wet oak chips on the grill element isn't traditional, but it puts a haunting bit of smoke in the gyros.
Geo
PS. I should also mention that I put a bit of Greek oregano into the mix as well.
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