Vicks - Any broadleaf herbicide will kill your figs. Sorry :( but I cannot think of anything chemical that would kill weeds and leave your figs alive.
John - Last year, I used dandelions in salads all the time. Not half bad with some mixed greens, and really nutritious. (Just make SURE there were no herbicides) This year, I am going to try my hand at dandelion wine - used to be common, but largely ignored for the past 50 years. Hopefully its good!