More than a month after a judge ordered San Mateo County to release records from a taxpayer-funded misconduct investigation into Sheriff Christina Corpus, officials are still refusing to turn the documents over. Superior Court Judge Michael Mau on Thursday gave the county two options: release the documents by Oct. 9, or file an appeal by Oct. 6 under state law that allows governments to challenge public records orders. If the county appeals, the documents will remain secret until a higher court decides whether they must be released. The fight over the records has stretched for months since Corpus’ lawyers sued the county in April to compel their release. Corpus’ lawyers filed the public records lawsuit in April after the county denied their March request for the documents, citing attorney-client privilege.