There was a story in Analog magazine (at least 6-7 years ago) about a man who climbs a 'beanstalk' up to the station in synchronous orbit-- there was a stairway, he had a spacesuit, and there were emergency shelters now and then so he could recharge/refill the suit, have a meal, etc. He makes it to the station. After finding he didn't fit in, he keeps climbing to the high end of the tether-- there's a ship there that was going to do some exploring--
I think there had been a cataclysm on Earth or something to make things more interesting.