I asked an online friend who lives in Orlando and this was her recommendation for organic food closest to the World:
Chamberlin's Market and Café
The Market Place Shopping Center
7600 Dr Phillips Blvd, southwest Orlando
407-352-2130
The website is pretty much the name you'd expect.
However, we plan to to take advantage of the grocery delivery too, keep meaning to write them to ask if they would go to more than one store. We need diapers and wipes, that kind of stuff and I don't mind using Pampers or whatever is available. Food though, entirely another story, organic all the way!
ETA: we are also mailing some items to ourselves. I am sending non-perishables like cereal, juice boxes, apple sauce, oatmeal, soymilk, coffee (!), etc. In fact, I am not entirely sure we need delivery service since it's just milk, yogurt, fruit and bottled water that we need to buy there.