No. Historically, members of Congress are rarely elected to the Presidency. Her service as governor already trumps service in Congress. And forget "building a resume"---remember Bush I.
This guy? At Yale University he excelled both in sports and in his studies; he was captain of the baseball team and a member of Phi Beta Kappa. After graduation Bush embarked on a career in the oil industry of West Texas.
He served two terms as a Representative to Congress from Texas. Then he was appointed to a series of high-level positions: Ambassador to the United Nations, Chairman of the Republican National Committee, Chief of the U. S. Liaison Office in the People's Republic of China, and Director of the Central Intelligence Agency.
He was also VP and the youngest fighter pilot in WWII