It s a bit confusing from your description, but I presume you want the kids to carry something which will tell you their position when you are a few miles away from them without needing a mobile phone signal to relay their position to you?
So If you cant rely on a mobile phone signal to send the GPS coordinates to you, then you have only two options, one is a satellite phone (which the garmin and spot tracker are essentially examples of), these will be relatively expensive.
The other option is a hand held walkie talkie with built in GPS , or a hand held walkie talkie without GPS as long as you have another gps device with them that they can use, walkie talkies dont have any subscription costs and are cheap to buy, but the range (is the distance you can communicate with the other walkie talkie) is relatively small, ie a few miles at most.
I’ve no idea whether this particular walkie talkie is any good, but it is an exmaple of one with built in GPS
https://www.ebay.co.uk/i/192071506890?chn=ps&adgroupid=13585920426&rlsatarget=pla-142405582626&abcId=&adtype=pla&merchantid=7375754&poi=&googleloc=1007118&device=c&campaignid=207297426&crdt=0