Looks like you have a lot of 1B. Try packing up a couple of them (Sweeney, who is injury prone, and maybe Broussard) to get an outfielder with some speed. Find the team that is loaded with speed and see if they are hurting at a position or in a category. If they need corner infielders, try the above. Throw in a RP if you have to and try to get a burner. It will be tough, but maybe you can pull it off. I would stay away from J. Pierre as he has not played in 17 days with a "calf pull" - could be a problem. You probably can't get Crawford, but it's worth a shot. Vidro won't get you anything in SB, but maybe you can swap him and a RP for someone at the position that will. You probably can't get Soriano, but M. Giles will get you about 15 and improve your BA, too.
I don't think you will be successful with your first shot, but keep plugging away. You should be able to put something together.