Maybe one consideration that might be worthwhile as just a thought.
You have been living in a very congested area in terms of people density for some time and have spent a lot of time with your family in that location from what I have gleaned. Traffic is just horrible since it probably is much like Los Angeles. As such, I too would be wanting to get the hell out, especially being so close to New York city and all the toll ways and crazy drivers, etc.
The opposite extreme is where it looks like you would like to settle. And the draw must be strong for you given your historical circumstances.
I do not know if you want to continue to enjoy the car hobby or not but it seems necessary to have something to do to keep your mind occupied and have some goals when you move (I asume you are at least partially retiring). One of the issues with such a beautfiful and low density population is there might not be a lot of stores and restaurants that you are accustomed to compared to where you are now living. So getting car parts will likely always be a long wait. And there might just be too few people around to have as neighbors/friends. But maybe you are the kind of person that doesn't need that kind of input very much too.
The other downside possibly is that your kids generally will not want to remain near you long term when you move to such a wide open area, at least that seems to be the situation for much of the midwest where population density in cities is pretty low. Young people are generally drawn to major cities where there are more people and better education and job opportunities.
I love the outdoors too and beautiful scenery and also considered moving to a pretty isolated area after living close to Los Angeles for most of my life. In considering everything, I instead of going into the wilderness decided to just move well East of Los Angeles between the big city and the desert. For me at least, this has been ideal since there is a much better balance of scenery and natural beauty and still some people density to have good relationships with all my neighbors/friends nearby and all the other things that go along with a medium population density.
Availability of robust medical facilities and good doctors are also a challenge especially as we age.
I guess what I am offering up some are some things to think about since I went through the same issues to get out of the high density area I was living in.
For me, I decided I wanted a better balance of people and open, scenic countryside than you are seeking it seems, and also had to think this all through pretty carefully.
I don't know you personally, as I have never met you but just some thoughts intended to be helpful and something to consider in good faith. I realize your priorities might be very different than mine and these are just some things to think about.
Steve
p.s. I decided to sell my one house near Los Angeles and move to a much more friendly, low density area where I know all my nearby neighbors and we all watch out for each other. It is like living in the 50s/60s again. I ended up buying two houses/lots next to each other using the money from my one house I sold nearby Los Angeles to achieve a total of one acre in space for what I wanted to do. The area I am now living in was just farmland and citrus orchards 50 years ago.
For me at least, I love it here. And certainly the West is much preferable to the East for a number of reasons in my opinion (mainly the scenic beauty). I realize California isn't for you but areas of Washington, Oregon and maybe northeast California (where folks are much more conservative and there are many farmers) could provide some good options too. But I have always felt that Idaho is stunningly beautiful too.
What ever the goal and the ultimate decision, I just wish you and your family the best!