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The easiest way would be to form a LLC in Nevada and file for S election and close your current S Corp in MN.
Even if the business is not carried on in MN, since you are a resident of MN and are also an employee of the S Corp- there is a business nexuss in MN and hence you will have to register the Nevada LLC as a foreign corp in MN and pay renewal fees each year to the State.
Let me know if you have any question.
Please note: This advice is provided with the understanding that all the relevant facts have been provided by you. Any change in facts might affect the advice given and hence may not be relied on in such cases. Nothing contained in this reply was intended or written to be used, can be used by any taxpayer, or may be relied upon or used by any taxpayer for the purposes of avoiding penalties that may be imposed on the taxpayer under the Internal Revenue Code of 1986, as amended.