You can go ahead and add Brian Daboll's name as a possible replacement of Bill Muir as offensive coordinator of the Kansas City Chiefs heading into the 2012 season. Daboll was most recently with the Miami Dolphins as offensive coordinator and has experience with new Kansas City Chiefs head coach, Romeo Crennel, from their time in New England together.
Daboll worked as a defensive assistant on the Patriots staff in 2001 when Crennel was the defensive coordinator. Daboll moved over to the offensive side of the ball in 2002 and spent the next four years as the wide receivers coach for the Patriots while Crennel remained defensive coordinator until 2005 when he moved on to become the Cleveland Browns head coach.
Daboll moved on to the New York Jets in 2007 as the quarterbacks coach and spent two years in New York before moving on to the Cleveland Browns as offensive coordinator. He's had three years experience with the Browns and most recently with the Dolphins as an offensive coordinator and that will be an important thing for the next Chiefs offensive coordinator.
You'd have to assume that since Crennel has already came out and said that he's still going to be calling plays for the defense and therefore, still heavily involved with that side of the ball. That whoever is hired as the offensive coordinator will have to have had experience as an offensive coordinator already. You most likely won't be seeing a positional coach get his first crack at offensive coordinator with the Chiefs in 2012.