I just got back from Falcon we spent the last two weeks of Dec down there. We used 65# braid for jigs and carolina rig (20# big game liter) and 20# big game for senko ect. There is a lot of submerged bushes, tress, and other structure. Especially since the water is so high now. I wouldnt use nothing less than 20# if you into a good fish or maybe the fish of a lifetime you want to be able to get him out of all the junk!
Have fun its a great lake!!