Coming back to Australia from London in 1989 after an across Africa trip which took 5 months. My passport was nearly full, I applied for a US visa in London as I was visiting soon to be Mrs C who was living in Vancouver and we had plans to cross the border south for a few days.
Visa refused as I needed more than one blank page in my passport. Went to Australia House in London where the 'remarks' page was altered to accept a visa. The yanks again said no. Arrived in Vancouver, went to the US consulate there, was told in no uncertain terms from a rather coughy person that it wouldn't be happening, if I was rejected in London, that was good enough for her to reject me. I still have the note written on consulate memo paper "Under no circumstances will we consider issuing a visa in this passport". Bloody annoying as several countries including Canada would add extra pages to a passport.
Got back home, determined not to be beaten, got a new passport and applied again at the Embassy in Canberra, as you could do then.
Explained the situation and was immediately granted one. I then went and visited the future Mrs C for 2 weeks and we went down into Washington state for a quick vist as well as a trip up the Inside Passage. We went into Alaska at the Stewart/Hyder border post, no passport required and Canadian dollars used.
Probably cost way too much money for such a short trip, but I hate being beaten......
Backpacking in my younger days, waiting for a visa and waiting for money to arrive were two very common reasons for many to be in major cities twiddling their thumbs.
We had to wait for a couple of weeks in Algiers to get a visa for Tunisia in 1979. Annoyingly we could have got one the same day in Rabat in Morocco, I figured Algeria would be the same.
Slightly digressing, the best visa I ever acquired was an Iranian one in Kabul. I was going overland to the UK. The Iranian borders were closed due to the revolution, the visa was easy, waiting in Herat for a week was a bit of a pain. The Iranian visa was in Farsi and English, any mention of 'royal' or the like was crossed out with a biro.