And if someone knew a better way to euthanize them that didn't require the expensive services of a veternarian, I would pay heed.
Well trying to get rid of puppies is as easy as putting an ad on craigslist or putting up a sign at the end of your road and taking part of a day to sit outside with a box full of puppies.
If that is too much for you, just take them to your local animal shelter. They may get adopted and they may not, but those that don't will be humanely euthanized. No expense necessary. No drowning necessary.