Good heavy mulch can just about eleminate the hoe and the plow. Newspaper, hay, pine straw, griund bark,any organic porus material piled up under the plants will work. Cover the rows and middles solid with mulch. To plant, mark the row with a string and pull the mulch back to expose the ground. If the plants are emerged already just mulch around them.
The mulch can be stacked on top of live weeds and it will smother them. It takes about 10 inches of mulch. Leave a slight space around the plant's stalk to avoid fungus and rot, some air circulation. Most weeds that emerge can be weeded by hand.
It also helps to build great soil.