Yes, I get that a lot too, and it makes me more depressed. If you're someone who's in the process of extricating themselves from a religious upbringing, this isn't a fun thing to deal with in addition to "regular" mental health issues.
What is helping me is:
* removing toxic parts of my life as much as I can.
* proper diagnosis and medication (the revelation of a late ADHD-Inattentive diagnosis is life-changing)
* meditation (Kabat-Zinn style mindfulness, warning that in my experience not being treated or missing your meds for anxiety/depression may make this a frustration engine)
* forgiving myself for not being more proactive (the hardest one)
* focusing on getting my son out to play with other kids (helps meet people with the same time-schedules)
What doesn't help me:
* Not taking my meds.
* Making extravagant plans. (Big things are more intimidating and generate avoidance).
* Cursing the past. (Mistakes were made)
* Going to church. (Attending a ritual gathering as a nonbeliever can be an incredibly isolating experience.)
Admittedly, the largest Fraternities have religious components themselves (the Freemasons, especially), and Churches themselves at times have fought the big Fraternities as "competition", but arguably the big Fraternities are kept separate and distinct from Churches for strong reasons, and tend to sway more secular with the biggest religious ties being calls to charitable service.
I've often wondered if it was possibly past time for a revival of the Oddfellows in America, which at one point was a huge entirely secular Fraternity (whose biggest remaining impact is a lot of fascinating 1900s-ish architecture in most major American cities): https://en.wikipedia.org/wiki/Independent_Order_of_Odd_Fello...
There's also a lot of interesting similarities to classic Fraternities/Unions/Social Clubs reflected in cosplay/fandom Unions and Social Clubs such as the multiple Starfleet Fleets (including Barfleet), the 501st, the Ghostbusters Locals, etc. Admittedly fandom/cosplay can be their own religion of a sort, but such things are extremely secular.
If you have no in-person interaction that you know you need, are you just never going to go find it? Where do other people get it in your area? Church, probably, since you're rural. I'm going to go out on a limb and guess that you aren't interested in religion, absolutely hate where you're at, and probably the people, too, but I beg you to call local churches until you find one that can help you attend and where you feel welcomed.