Maybe you could try putting some of the things you are interested in growing in pots and stick them in that area this season. Probably some things will do fine and others just won't prosper (tomatoes and peppers really need alot of sun). However, if the other stuff you are interested in growing do fine (greens seem to grow pretty well in shade), you can make your garden there and maybe look to put another small garden somewhere else where there is more sun. My garden is divvyed up into shade and sun spots. So far, however, I haven't found enough sun to grow peppers. I have a spot to try this year though, because my neighbor took down a tree.