A few gigs of zeroes will prevent random drive-bys. At that point the partition and filesystem table of at least the first partition is overwritten and you "can" recover files off it but you'll be missing filenames and at least half the files will be corrupt due to fragmentation losing track of which files are where.
I agree with Ono that shred is a good tool for this. If you don't want to use that, try increasing the block size to at least 1M if not 16M to reduce the overhead.
Reporting in, just got my blackberries and tomatoes up off the ground a few days ago and feeling accomplished