Brooke Mueller Choosing Outpatient Drug Rehab to Stay with Kids

12/12/2011 9:00 AM PST

Brooke Mueller
is trying something different for her umpteenth attempt at drug rehab ... a rigorous outpatient treatment that will require random drug testing, and -- for better or worse -- will allow her to continue spending time with her children.

Brooke's rep Steve Honig says she will be going to a facility for treatment during the day, and when she leaves the facility she will remain "under expert supervision 24-hours-a-day, seven-days-a-week."

In addition, Honig says ... "Brooke has requested to be tested on a daily basis for cocaine and other illegal substances so there is no doubt as to her commitment."

Brooke -- who was arrested for cocaine possession in Aspen on December 3 -- has been in and out of inpatient programs for years. Her rep says she wanted a different approach this time ... and she wanted to maintain a normal routine for Bob and Max ... her children with Charlie Sheen.

As TMZ first reported, Charlie will not take custody of the boys -- and we're told he's on board with Brooke's choice to try the outpatient program.