We;ll be spending a lazy week in Fauglia in early May and wonder if anyone has suggestions as to winerys, places for olive oil, markets, etc during our week.
I always recommend this book: A Culinary Traveller in Tuscany. It was a wonderful resource for us when we stayed south of Pisa a couple of years ago while taking Italian lessons in the seaside town of Castiglioncello.
Also, I second Megan's recommendation for Bolgheri. A great restaurant there is Taverna del Pittore. Here is the page from our trip report describing the restaurant.
Personally I'd head to Elba. We hoped to stay a night during our week in Lucca last year but missed it.
Barga and Volterra were both memorable day trips. And of course Lucca itself is beautiful and well worth a day of wandering. Market day was Sunday I think.