I think there is a lot more to this issue that people are overlooking.
There is a stark divide between rural and urban populations. Most seem to only notice the obvious such as access to jobs, education (and thus vote differently), and opportunity. What seems to be overlooked though is that both regions have very differing world views as well. They are rarely the same when it comes to what people value, and it is what rural people tend to value that is falling apart.
Smaller communities tend to value community, faith, and hard work. Community and faith are continuing to wither away though in many regions, and good jobs are increasingly harder to find. It is easy to say get up and move to the city then, but aside from the economic issues associated with that, many people don't want to move to the city because it is seen as cold, callous, and uncaring. Small towns generally consist of a community feel, knowing who each other are and letting kids run free in the street knowing people are watching out for each other. Everyone comes out for community events, fairs, or church gatherings.
As things fall apart economically though, so does the community.
The lack of mental health resources are no doubt one cause of these suicides, but so is the feeling of being alone in a community that once cared for each other. When you used to rely on others for moral support, it is difficult to adjust to feeling alone. People are having to commute further, are retreating to their devices more, getting hopped up on drugs, etc. Nobody has time for each other when they struggle to make their own ends meet or have already hit hard times. Thus more people feel alone and are at a higher risk of drug use and suicide.
As someone from a small rural town, if you truly care about this subject and are willing to put aside your own bias, I really suggest reading up on some of Chris Arnade's articles. He went from Wall Street to writing articles about rural America for The Guardian. Having grown up in a rural town myself, he hits the nail on the head quite often and essentially describes so many people I have known in my life.
https://www.theguardian.com/society...-to-say-america-is-already-great-rings-hollow
https://www.theguardian.com/profile/chris-arnade
https://medium.com/@Chris_arnade/latest