Not quite on topic but I have ridden two Cycle Oregons fixed with a flip-flop fixed-fixed hub, a chain wrench strapped to the top tube and all the cogs from 12 to 23 teeth. Flatter days, just the two cogs on the hub and no chain wrench. Big hill day, one of two cogs strapped to the tool bag. (Crater Lake - left camp on the 17 and flipped to 23. At the rim, pulled the 23 and put on the 12 and rode the rime on those two. After about 20 miles of descent, pulled the 23 and put the 17 back on.)
I did cheat. I use a frame with extra long dropouts that a) open to the front for quick changes with clean hands and b) can handle the 12 to 23 spread without messing with chain links.
Edit: My logo is that bike on my 2nd fixed Cycle Oregon. Let's see if I can post the picture here.

And a photo taken of me in the very early days of this bike (before i had the seat height dialed in!)
Ben