Sounds reminiscent of a mini-series from the early 80s called "The Day After."
Was mostly set in Kansas (where there were missile silos) and as far as I can recall it was pretty blunt about things. No happy ending, Steve Guttenberg and Jason Robards losing all their hair and realizing that everybody the knew was gone or going. It was enough to scare the crap out of a ten year old kid back in the day...
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