There's a fascinating article (no link) in this month's Minnesota Monthly about
Sen. Sheila Kiscaden (I-Rochester). Kiscaden is a former Republican who was defeated in a primary in 2002, was re-elected to her Senate seat as an independent, and continued to caucus with the GOP until Minority Leader Dick Day kicked her out. Since, she has caucused with the DFL, continuing to hold a moderate line on most issues. Today, Lori Sturdevant has an article discussing the lack of women holding higher office, highlighting Sen. Becky Lourey's run for office and mentioning Kiscaden. Either of these two would make great statewide officials.
Check out the article; it's worth a read.