We are trying some intensive gardening in our backyard this coming season. Like most things that say "you can make a bunch of money" I doubt the bunch of money claim. But I bet I will get some veggies at the least and I will see if I like growing my own stuff.
A very good book on intensive farming (though not on a micro-micro scale) is the "Market Gardner" by Jean-Martin Fortier. He also has a lot of great content on youtube for free. While his scale is bigger than yours a lot of the practical lessons can be scaled down.
http://www.themarketgardener.com/
LOVED that book. Helped a lot in getting our small (1.5 acre) farm better organized. We've been farming for 10 years, and last year we made about 12000 USD, net. That's also because we pay 3 full-time workers for the fields.
So yeah when you start small, you'll be doing all the labor yourself. It'll be really fun! Just you and your SO. So your profit margin will be higher. And CSA's are a great model because they allow you to just throw whatever's working into the box, (because a lot of the time, something just isn't going to work out).
If you've been gardening for a while, I'd say go for it! People love greens btw, and greens are pretty hard to mess up. Spinach, chard, kale, and baby salad mix. Baby salad mix represents over a third of our overall sales, plus what we put into our shares. People love us because of our salad. People come to our stand and by other stuff because of our salad.
Other big sellers are carrots and beets. Restaurants love those in the "baby" version, too.
Definitely check out the book above. He actually has a chart in the back where he talks about what his most profitable things are. That's important in a small space.
Also, don't be afraid to hire help once in a while. Nothing worse than getting behind! I'm getting excited for you! Can we see a picture of your plot?
In my blog, there's a whole section on farming, where I've written about starting up. I started writing it back when we were on a plot of land 1/4 the current size...so about .375 acres. Might be relevant.