Burke has returned to mortality. The White Sox have a big ballpark so I think you need Taveras out there. Game 1, I would do:

2B Biggio
CF Taveras
LF Berkman
3B Ensberg
1B Lamb
RF Lane
DH Bagwell
C Ausmus
SS Everett (I particularly like Adam's speed in the 9 hole).

Game 2 against the lefty:

2B Biggio
CF Taveras
1B Berkman
3B Ensberg
RF Lane
DH Bagwell
LF Burke
C Ausmus
SS Everett

Game 3 with a righty and no DH:

2B Biggio
CF Burke (Taveras if Burke goes cold)
LF Berkman
3B Ensberg
1B Lamb
RF Lane
C Ausmus
SS Everett
P Oswalt

Game 4 and 5 same as Game 3 with different starting pitcher.

Game 6 with a lefty, see Game 2.

Game 7 with a righty, see Game 1.

Adjust based on who's hot but that's how I would pencil in the lineups.