We use this:
http://www.inreachdelorme.com/product-info/inreach-explorer.php
It's not a phone. It allows you to send short sms and/or email messages via satellite, and those messages are tagged with your lat/lon. It has no maps, but it will tell you your lat/lon. You can build up a list of locations and waypoints, and it will give you distance and direction to your next waypoint. Paired with paper maps, it's a useful navigation tool. Or you can bluetooth link it to a smart phone, tablet, or computer with maps. We have the minimal plan, $12/mo for 10 messages/mo plus 5 test messages/mo. $0.50/message after your 10. Paired with this for solar power:
https://us.waka-waka.com/store/catalogue/wakawaka-power_17.
If you buy a more expensive plan, you can set it up to publish your location every 10 minutes. Useful to let your family track you if you take your dirt bike out into the wilderness, or if you're off hunting solo. Then if something really bad happens and you can't signal, they know where you were.
For us, a text message every 3 days is plenty for checking in on those occasions where no other options are available. If we ever need more, we can easily bump up to a higher level plan.
We tied ours into our Global Rescue account, so when my daughter is mountain climbing in Africa, I know if she needs help she has sat comms and access to an extraction team. She's an EMT, with good first aid gear and the training to use it. As her Dad watching her head off into the African hinterland, I like the fact that if SHTF, she can push some buttons, and a helicopter (or whatever) will come.