It will likely depend upon the reason that you must carry the SR-22 if you will be able to obtain a Commercial Driver's License (CDL). If you are required to have an SR-22 due to a driving under the influence conviction, you may be disqualified from acquiring a CDL for a certain amount of time. If you have to maintain the SR22 due to something less serious than you may be able to apply for a commercial driver's license.
You should check with the Department of Motor Vehicles of the state in which you want to obtain the CDL to find out if you can apply for this type of license at this time with your SR-22 and by informing them of the reason you carry the SR-22. State's DMVs issue the CDL and have their own rules and regulations but also must following the federally set guidelines.
The Federal Motor Carrier Safety Administration (FMCSA) driver regulation 384.206 notes that before any state issues a CDL they must check their driving records for that person and if the person had previously lived in any other state(s) much check those driving records as well.
Based on the findings of the State record checks, the State shall issue the license, or, in the case of adverse information, promptly implement the disqualifications, licensing limitations, denials, and/or penalties that are called for in any applicable section(s) of the federal regulations.