I live and work in the Black Hills of South Dakota, and have been a resident since the late 80's. My, how things change.
We're 15 miles from Sturgis, so summer rally is absolutely preposterous. A complete mob on the interstate for almost 2 weeks now, as rally goers who hate the crowds themselves come early or late to miss the peak of the insanity of it all (average 300k, can peak close to half million rally-goers). Quaintness of that event got burned out decades ago, especially when the 50th really seemed to solidify that event as a world-renowned annual destination for (mostly) Harley enthusiasts. The Black Hills are completely wrung-out after that event.

I am also about a 15 minute drive from Rapid City.
Rapid City area in general has always been expanding. Until now, it's never actually boomed. In the 90's it was 50k population. Now 80k and actually is booming, because of folks like yourself, no offense intended. Also, Ellsworth AFB is expanding, with estimates in the 30k range of new residents to serve with the latest bomber being assigned here.
Health care: Rapid City Regional is a major hub, and has recently re-branded to Monument Helath and touting association with Mayo, which makes them all the better according to them. Lots of VA medical facilities as well, due to proximity of the Air base. Many military folks simply stay when retirement rolls around, so pretty friendly environment for those who've served.

Real-estate: Now outpriced for local pay scales, due to excessive incoming cash buyers. Homes that were $150k 4 years ago are now asking for $225, with cash sales closing at 30-50k over that, due to unprecedented shortages. Actual average selling price used to be $225k 4 years ago. According to a realtor in my networking group, average is currently $453k. Many of us, like myself, are extremely grateful we found and settled into our current homes just before this situation developed. There is no major industry here, save a few specialized manufacturers, but at under 100 employees at best, it's still technically all small business. We still take $1.50 in Federal funds for every dollar we give in taxation, garnering a depressed economy classification. Yep, farming/ranching all over the place, but the subsidization of it all would make your head spin.

Actually saw a very nice, clean, late model pickup in Sturgis recently with the following message in 4" high lettering on the tailgate: "Thanks for visiting the Black Hills... Now GO HOME!"
Not an unusual sentiment, just really took me aback to see someone get this boisterous with their feelings, though it's commonly brought up in chats around coffee tables and bars. Truth is, it does feel we're getting a bit over-run.

Hard to put this into perspective, but believe me, we're running out of quaint, undiscovered little pieces of paradise, like that which you're seeking. Especially for a steal of a deal, but even that is a matter of perspective. A $500k dump in your area may still be half that out here. But it's still a dump.
As for infrastructure, thank goodness for Starlink, or I'd still be stuck with Centurystink for internet. However, living in a beautiful little canyon with a historic homestead down the street, I am faced with 2,500 gallons of propane to purchase each year for my home and shop, even though I'm only 1 mile off I-90, with Natural Gas supply line from Wyoming running parallel to it. So, realize, isolation has it's trade-offs. Your description is quite idyllic, but you just aren't going to get isolation and full infrastructure support.

Take all the above for what it's worth. I'd welcome you, if you can afford it, but bottom line is, SD got discovered by retirees and remote workers right after the pandemic kicked off, close to 2 years ago. The lines have formed, and the prices have been adjusted accordingly. As real estate goes, looks a lot like the toilet paper aisles at the local grocer. Not much there, and nobody cares what they pay, as long as they got something they can grab.

FWIW
Jeff