There are a lot of such places! And very reasonably priced, too, at least the time of year we visited.
We actually stayed at two different ones, as we traveled a bit. One was just about right over the barn - they had a couple of milk cows. And it was almost at the top of a hill overlooking the mountains. I got up at dawn and walked as high up as I could to watch the sun come up over the peaks. There's no way to capture that in photos...it was glorious!
*cue music swell*
"The hills are alive, with the Sound of Music!"