The short answer is “it depends.” Minnesota DWI law, complex as it is, is even more so when you throw recreational vehicles into the mix. First-time ATV DWI violators do not lose their driving privileges. They are also not subject to a host of other conditions and sanctions that a first-time motor vehicle DWI violator would face. Minn. Stat. § 169A.07. However, second-time offenders are treated the same whether the offense occurs in a car, boat, off-road recreational vehicle, or a snowmobile. After the first violation, all the rules are the same, and you could face license plate impoundment, loss of your driving privileges, and vehicle forfeiture. In addition, if convicted of a second DWI while driving an ATV, you will lose your ATV privileges for one year. Minn. Stat. § 84.91.
If convicted of a DWI in a motor vehicle and you lose your license, you can still trail ride your ATV unless you have been notified that your ATV privileges are revoked. Minnesota does not require a driver’s license to ride on trails. However, a valid license is required if you plan on ditch riding. Minn. Stat. § 84.928.
As can be seen, this is a complex area of law. For assistance with your specific situation, it is advisable to consult with a qualified attorney to make sure you are not inadvertently breaking the law.