"Trump has been good on these issues in a very vague, 100,000-foot level," says education reformer Lisa Graham Keegan. He's made statements in support of expanding school choice and giving more control to the states. And two of the rumored candidates for U.S. Department of Education secretary—Gerard Robinson, a fellow at the American Enterprise Institute and a former education official in Florida and Virginia, and Williamson Evers, a fellow at the Hoover Institution—would be great picks, says Keegan.

On the other hand, former presidential candidate and retired neurosurgeon Ben Carson—another rumored candidate—is a head scratcher.

Keegan is a former Arizona Superintendent of Public Instruction and head of the education consulting firm, the Keegan Company. She'd like to see Trump appoint a secretary who can "manage [all the regulations on the books] to the benefit of freedom...and the people [on the local level] who are actually doing the work."

Nick Gillespie caught up with Keegan for an interview yesterday afternoon.