I've been using QualityTime (Android only, I think: http://www.qualitytimeapp.com/) to measure and track usage daily. Seeing it quantified was a bit of a shock even though I thought I was doing a good job of mentally monitoring myself.
As far as calm goes, I started writing again instead of consuming HN all day.
https://itunes.apple.com/us/app/apple-configurator-2/id10371...
No GPS was a difficult feature to find as well, but desirable for reducing the data footprint available to third parties.
I go walking without a phone now.
I'd love to find one with a decent camera. I have a fairly nice and compact point-and-shoot that I bought a couple of years ago, but it doesn't have a lot of the software-assisted processing that makes it so easy to take good pics with my (midrange) smartphone.
I don't think I'd have as strong of an outlet for constant distraction without my phone.