Speed might be tricky, given your keepers. If Kazuo Matsui is available, he might be a good option; otherwise, I'd try to pick up either speed at 2B or a speed-only OF such as Sanchez.
Closers will probably start going off the board fairly soon. If a great opportunity comes along, you should grab it, but as a game plan, I might plan on looking for lower-tier relievers such as Kolb and Graves and look for SPs first. How to play this probably depends on whether you have daily or weekly lineup changes, though, and on what the other owners are doing.