I grew up in the country too--in the " sticks" for sure.
Country or City, doesn't matter, I don't need to be bothered by your dog anywhere.
Yes, sometimes you and the dog run up on someone else and or another dog...that's life and you deal with it... but not by pointing your gun at them.
Yep, you deal with it AND you may not like how the person that your dog runs up on "deals" with it.
You have to accept the risk of your dog getting injured of killed if YOU choose to let it run free---it's injury or death would be ON YOU.
Locally, in the last year or so, we had a gentleman killed by a couple of dogs in his driveway and two elementary school children chewed up when they were walking to their school bus on a rural country road---and of course, the usual bites and stuff.
In todays society, you're just opening yourself up to risk if you let your dogs run free and you could be putting your dog in danger.
I had a couple of strange pit bulls coming to my house last year---they scratched the crap out of my screen doors jumping up on them and jumped up on my wife when she got home from work ---she REALLY REALLY liked that!!
I made a call to animal control----come get them or I'll deal with them myself.
They weren't going to come and said I couldn't harm them unless they were attacking someone.
I ASSURED the officer that my next call would state that they were attacking my wife and I had to protect her-----they came and managed to get one of them, the other one got away----that day.