Are the weeds just over running the garden or is something eating your shoots when they start?
I had deer after my garden and my apple trees.. It took dropping one by the apple trees and one in the garden to convince them it was not a good place to forage..
My Rabbit problem has gone down quite a bit since we got a couple outside cats, but I still give them lead poisoning when I see them..
In an effort to have "some" edible vegies and sweet corn I have run the gamut of natural deterrents. Powdered lime, smelly sprays etc, etc..
I have reverted to using insecticides, though not seven.. I spray it on at night and when there are no blossoms to draw the bees. I have not had a problem yet, but suppose it comes down to making sure I rotate the comb often to keep the bad stuff from building up.
I also make sure to thoroughly till my garden. Once in the fall, once EARLY in the spring, then again before I plant. I still get a lot of weeds that have to be pulled, but also try to plant my rows far enough apart that I can run the tiller between the rows to save some backache..