We would love to not put plastic down but we're surrounded by farmers fields, and additionally, was getting horse manure delivered from a neighbor. She told us how to "bake" it before using it, but still, OMG the weeds. It was just too much. We gave up. Most things we found, but we lost the carrots for a while.
This year, I wanted to try Preem, but hubby won't have it. He thinks plastic is the answer and plans to use it in the fall.
He spent 3 days pulling weeds because there were too many and too tall for the rototiller.
We chose to skip the horse manure this year, and maybe next year, we'll go back to cow manure. We have compost we mix in by the tomatoes and a few other things so at least they'll get fresh fertilizer.
His question though is if he puts down plastic this fall, then in the spring, no weeds will come up, but wouldn't those weed seeds just be dormant and come up as soon as we pull the plastic off? I'm not so sure that's going to do any good.