Minnesota Drug Rehab & Alcohol Rehab Types of drug rehab programs for Minnesota . When you start actively looking for drug rehab, either in Minnesota or elsewhere, you discover that there are different types of addiction treatments including detoxification, outpatient counseling, short-term inpatient treatment (30-day programs) and long-term residential treatment (longer than 60 day programs). Within Minnesota and nation wide, other addiction treatment programs exist which are generally referred to as “medical model” drug rehabs. They often use substitute drugs in the treatment process. This basically means that they prescribe drugs to the individual to get the person off drugs. Much controversy has arisen from this approach since the person addicted and their loved ones actually sought to get the individual drug free only to discover the client leaving the program with an expensive and detrimental drug habit. Anti-depressant drugs, methadone, Suboxone and other drugs are sold to these individuals as part of their “treatment” – they then continue the habit of these drugs and rely on these for their “sobriety” upon exiting the program.