So, I've been pondering this more and more... As I search for a Schlenkerla to try myself... (Similar situation to the o.p.) A GF smoked beer just sounds like fun. And, the smoke in a bottle drops sound like the simplest solution, but why do things the easy way when you could do something much more complicated and impressive?
I had been digging around on the intertubes at some point, and came across the suggestion that dry media (grains, whatnot) wouldn't absorb any smoke flavor from a fire and/or smoldering stuff; whatever you wanted to absorb a smoke flavor had better be wet.... This got the ol' gears turning........
What about making a batch of instant rice (a nice, damp, gluten free media) and then smoking that? Of course, with the end result of steeping it in your water before adding sorghum syrup and proceeding as usual....
The only thing I haven't figured out yet is how to get the "malty" character or reddish color that I understand is the predominant feature of a typical non-GF smoked beer.
If I've been able to hide it well, I'll out myself, I've been hitting the homebrew pretty good tonight. (I do my best thinking under the influence.) I've got a Cabernet Sauvignon with some oak in it that has been in the bottle for about 4 months that is just fabulous..
Anyone care to weigh in on any of my above ideas?
