The “big city” is a somewhat relative term. I’m in Billings, Montana, the largest city in the state. Population is around 100K. We are over 2 hours from the next largest city, Bozeman, with mostly open country between us. Then another long drive to Butte followed by another to Missoula. If I head east, I can dive for hours before I come close to a Walmart.
So, one would think that Billings is really a small place with all the advantages of such, but according to crime statistics, our crime rate is higher than Los Angeles or Seattle. Earlier I mention a recent shooting and that was anomaly in that the shooter didn’t know the victims. Most of the violent crime here, like many other places, is between people who know each other. Part of the problem is that we are a “catch and release” community. Our jail is so full that there simply isn’t room for any more. Montana is VERY anti-tax and it’s difficult to get stuff done that will require voters to approve a tax or bond to accomplish it. While the community is outraged over letting criminals go, they voted down a bond to expand the jail. AFAIK, the bulk of crime here is drug related: both the legal kind (alcohol) and illegal.
Oh, and if you think that the wide open spaces, rivers, mountains, and all that brings some kind of serenity, Montana has one of the highest suicide rates in the nation.
All that said, I moved here from the Los Angeles area 31 years and I have always felt safe here. I am a distance runner and there is no part of the city I feel unsafe running through At any time of day. Maybe I’m being naive but who want to accost some old guy out running? What’s in it for them?