I suggest you ask this question in the lawn care forum. This forum is for questions about growing plants in containers. Here is a link that might be useful: Lawn care forum

I used black plastic one year for melons, only it was the heavy tarp plastic and I dug a long trench in which to lay the plastic. I then cut out holes in the plastic to plant the seeds. I had some of the most prolific, large melons I've ever had using this method.

I'm doing the lasagna thing for the first time this year. It'll be flowers, not veggies. I hope it works, because I'm trying to kill off a weedy mess. I called a locallly owned appliance store for the cardboard. They told me that a particular two days of the week are the best times to come by. I've gone by twice and filled my station wagon with washer & dryer boxes both times. I used the first batch to cover a large area that I wanted to mulch. It used to be an area with ugly grass/weeds between two of my flower beds that was hard to mow. It looks much better now, and my pumpkin & watermelon plants are enjoying crawling up into the area. No crabgrass has shown its nasty self so far. Early this spring, I did a similar thing with newspaper around my veggie beds, because I was tired of all the weeds growing into them. It's been fantastic all season - almost no weeding. The cardboard was a lot faster than the newspaper - it took practically no time to get it positioned. I'm lucky in that a local horse owner leaves bagged horse manure free for the taking. But I've heard most barns will let you help them clean up in exchange for manure. (Gee.) And at my local dump, I can get virtually unlimited grass clippings & leaves. I've heard calls to locally-owned landscapers will yield grass & leaves in the appropriate seasons. Sure, I'd love to know that they weren't treated with anything, but I figure in the end the benefit outweighs the risk. If you connect with landscapers, you have even more control. A locally-owned coffee shop (getting the theme yet?) will collect coffee grounds for me if I just leave them buckets. I bought a couple at Lowe's for a couple bucks since I felt bad leaving kitty litter buckets (the ones I had handy) at a food establishment. Starbucks has a program for this, too - you can go into any Starbucks and pick up used coffee grounds. You don't get a lot of volume that way, but if you're driving by - heck, it's free. Apply cardboard, then compostables. In my case, let it all overwinter and plant next spring. Sure sounds easier than the double-digging I did for my veggie beds! Especially when you consider all the granite rocks we had to haul out here in New Hampshire. When I lived in the SF Bay Area, they used to use goats to control weeds along some roadways. People had herds & portable fences they rented out. I thought that was pretty cool.

I don't know about those particular cultivars but I would suggest that you plant your seed (whatever you decide) earlier in September rather than waiting until late September or October. Here is a webpage from Ohio State on recommended cultivars for Ohio. Here is a link that might be useful: Ohio cultivars