Thanks, I am going to go with the aluminum pot even though I managed to pull off a batch today with minimal burning. It's just not worth the ridiculous amount of stirring required or the added time it takes to boil thanks to all that stirring. My housemate talked me out of the aluminum foil on the coil idea, although personally I don't see anything wrong with having some aluminum permanently affixed to the coil, seems like it'd be an improvement if ya ask me.
You can get a burner diffuser like this one
, which will eliminate the coil imprint. Another option is to get a piece of aluminum and put it directly on the burner, which will spread the heat out to a wider area. You can get a 12"x12" piece of 1/8" thick 1100 alloy at Mcmaster for $14. The foil is probably going to be too thin to spread the heat adequatly, but there will be no harm in trying it out.
If you're really strapped for power, you might consider going electric with a heater element in the pot or building a heat stick. It gets a bit more complicated on the controls side when you use a big 240V element, but could work quite well with a 120V element for a 5 gallon batch, maybe even just using the element to help get to a boil and use the stove to control it.