/me hurriedly turns noprocrast back on
Let's just borrow a chapter from Ringworld, and move the Sun, dragging the Earth along. I don't have enough napkins for a calculation, but it may be possible to just trail the star as it clears debris ahead of us, while also keeping us warm. (Naturally, the exhaust would have to be redirected around Earth - I don't know if it would be easier to build something around the sun to do this, or to place a shield around the planet.)
AsteroidShell = 3For1Deal!
But we MUST discuss this idea, using only napkins for paper.
http://idea-sandbox.com/blog/2007/11/cocktail-napkin-noteboo...