Ask HN: Remote/rural USA high-speed Internet options?

My wife and I are looking around for rural property to spend some quality time together on, cabin-in-the-woods style. We're not looking to disconnect completely, it would be nice to get away for a few months but still be able to do some remote work (me software, her telemedicine).

Cellular is mostly unavailable in the places we're looking, do other options exist? Satellite? Custom wireless repeaters off nearby hills? Anyone have any experience with this kind of stuff?