Booties.
I use these ones in warmer rains, and when I'm touring:
http://www.mec.ca/Products/product_d...=1197945902015
I use something like these ones in cooler rains, and on winter rides:
http://www.mec.ca/Products/product_d...=1197945963144
Your feet won't be 100% dry, but they will be drier than they are now.