The large garden the wife and I tend we try to shoot for organic....
We use natural fertilizers... (horse/cow poo, chicken poo etc)
We hand weed and mechanical weed.
The hardest part is dealing with insect control. cabbage worms (the caterpillar version of the White butterfly you always see in the garden) are the worst to deal with. make a mess of cabbage and broccoli.
The second most difficult thing to manage is squash bugs. They really did our cukes in this year. Attacked our zucchini hard but not before we got 2 dozen forearm sized zuks off the plants.
So when i HAVE to i spray seven for cabbage worms and squash bugs (paying attention to get the spray on the BOTTOM of the plants)
We had a bad bout of blossom rot on our first set of Tom's this year due to environmental issues, (no action taken) but i usually do spray a Copper based fungicide early in the spring due to our wet weather we usually have which tends to mitigate any further blight issues.
Is it truely organic? no. is it brod application of lots of chemicals... no. I spot treat with a properly mixed chemical for a specific problem keeping in mind blossom times and harvest times.
I personally think you can get 200% better yields with 95% the same goals as true "organic" farming.