You can ask the court for a private sale rather than a public sale. This is common because courthouse auctions generally produce smaller prices than listing the property with a broker. You should consult the lawyer representing you in the partition action about how to accomplish this.
Disclaimer: This answer is provided for informational purposes only, does not constitute legal advice, and does not create an attorney-client relationship. Actual legal advice can only be provided after completing a comprehensive consultation in which all of the relevant facts are discussed and reviewed.