Could we somehow do what this handy program does with CCleaner?
http://shanegowland.com/software/2012/oldchromeremover-module/
It removes old Chrome versions stored on your hard drive. Lifehacker has an article about it.
http://lifehacker.com/5874876/oldchromeremover-frees-up-disk-space-used-by-old-versions-of-chrome