Most of Montana is "Safe" if you discount the wolves the bears and the snakes.
You would probably feel more comfortable closer to a larger town for shopping, access to medical facilities, jobs.
There are several smaller towns around all of the larger cities. Belgrade, Manhattan, Amsterdam, Springhill are all around Bozeman but offer seperation from the city itself.
Billings has Park City, Laurel, Shepherd, Roundup and Lavina among others.
Even Great Falls has Cascade, Ulm, Black Eagle and Belt.
If you wish to avoid the liberalism you left and look for good basic values, then you will have to concentrate your search east of the Divide. There are places like Thompson Falls, Ronan, Wisdom, Plains and Divide and others that still have some morals, but many of the towns have been infected by the cancer in Missoula.
Your description of yourself gives the impression that you would probably fit in well here. I would reccomend you have a job lined up before you come as they are kind of scarce and do not pay the higher wages you might be used to. Most of us here work 2 or 3 jobs to make ends meet. It isn't easy sometimes, but the people and beauty make up for a lot of sacrifice.
We have most of the really wild eyed libs penned up in Missoula, so if you avoid that place, you will probably do fine.
Oh, I would avoid Helena as well as most of the business and people there live off the public trough through taxes so there is a higher percentage of libs there as well. Butte is historically a union town, but most of that is gone and they are starting to come around to conservatism again as they are having to actually earn their living instead of just strong arming the Anaconda Company.
Most of Montana has good morals and standards. The reason most of our elected officals are democrats is because the larger cities have most of the votes and can override the rest of the state.