I picked up an H3 myself for a few different reasons. One of the first things I did is to see what all frequency licenses the FCC has granted in my area. Programming those in lets me use it as a poor mans scanner to listen to local sheriff and fire, county schools, and the local airport control tower. There are also a few different GMRS repeaters in my local area that I have programmed in and used to reach people in the surrounding counties. It's gone out with me a few times on family and scouting events, where I've used it to both keep up with the kiddo and keep and eye on the weather in an area where there's no cell coverage.
As far as your coverage area goes, my initial guess is you'll be good. The main towers I hit are only about 6 miles from me, but there is one a bit over 20 miles away that I'll use at times. It's more about antenna line of sight than it is distance.... remember, people have actually talked to the International Space Station using a homemade antenna and a little 5 watt handheld like the H3.