We recently stayed here https://www.airbnb.co.uk/rooms/7751966?s=51
OK, there are a couple of cottages nearby, including the owner’s, but we didn’t hear a peep from them and they were very hands-off in their approach to us. They were there if we had a problem, but otherwise they left us well alone.
There is a farm down the track so you do get the tractor/quads going past, with sheep and dogs. That doesn’t bother me though, in fact I rather liked it.
The views are superb – nothing but sheep for as far as the eye can see. On a clear day you can see Scafell Pike and other mountains. It’s just beautiful.
There is some lovely walking directly off the cottage site, across the fell, past Devoke Water and up the nearby Devoke Seat.
Facilities were lovely, brand new kitchen which was really nice to cook in, and you can get eggs and pork from the owners and feed the chickens (and pigs, if they have any at the time you’re staying).
25 mins drive to nearest village with pub, though there’s a very small post office/village shop a bit closer.
Great base from which to explore the Lakes.
Might not be remote enough for you, we certainly found it quiet enough though