From my experience you are either under a flight lane and a lot of planes fly over, or none do. There may be some places further north where they are more spread out, but for example I used to live just south of the approach to one of the runways at my city's airport (maybe 10 miles away so the planes were not super low but were already lined up with the runway) and we saw a constant stream of them go by. I really enjoyed it to, there were lots i could identify readily and sometimes an obscure one that I'd jump on flightaware to see what it was. I think this is a cool project and wish I had something similar.

Edit: related, I regularly commuted by plane between two cities, and my parents live out in the country part way between the two. I could regularly see their house out the window of my plane, because by chance one of the flight lanes was just north of them. So they would have have a lot of traffic going overhead, despite being nowhere near an airport. They also have less frequent planes go by on great circle routes to europe, which is probably what you're imagining thinking about seeing planes infrequently.