The only farmer's market in my area is held Wednesday morning at the county fairgrounds. Very little (if any) local produce there. By local I mean harvested within 50 miles. The vendors travel to south Florida load up trucks and hit all the different flea and farmer markets in the state during the week. The food isn't much fresher than that available in a grocery store and after it sits out in the heat day after day isn't very pretty. There are occasional road side sellers that are local - I stop and buy from them when I see them but that's hit and miss and nothing that can be planned on.
Luckily my husband has gotten all excited about organic gardening so we have lots of produce from the backyard. He just hasn't learned yet how to space things out so there's usually a surfeit of something and none of something else. Thank goodness the cucumbers are gone - only so much you can do with them.