MLB Traderumors has a pretty cool spreadsheet up with projected Elias rankings for all of this offseason's free agents.The projections are reverse-engineered by Eddie Bajek of Detroit Tigers Thoughts. Teams get compensatory picks in the next year's First Year Player Draft if they offer arbitration to Type A or Type B free agents and they subsequently sign with another team.
The Dodgers should have 3 Type A free agents this offseason in Manny Ramirez, Orlando Hudson, and Randy Wolf. Of course Manny would have to opt out of his contract and the Dodgers cannot offer him arbitration (because of a clause in his contract) anyways.
They should also have a plethora of Type B free agents, where Jon Garland, Vicente Padilla, Ronnie Belliard, Guillermo Mota, and Will Ohman all look likely to qualify. Jim Thome is also ranked just outside of Type B status. However, thit's questionable whether or not the Dodgers would offer arbitration to most of these players.
While there's still a lot to be decided in the offseason, it's possible if things pan out the right way that the Dodgers end up with quite a few compensatory picks in next year's draft.