Hatch, Utah is a tiny village a little more than halfway between Zion NP and Bryce Canyon NP in Utah--I think that qualifies as the middle of nowhere. By chance, I stumbled upon the Adobe Deli, and boy, was I not disappointed. I was so impressed that I wrote a TripAdvisor review--something that I rarely do, just because I'm lazy --which you can view here. (Looks like a couple other reviewers concur with me!)

But be careful: they're only open seasonally!