Martha MacCallum on Fox News said this nicely formed malaphor. It is a mashup of “run (or head) for the hills” (depart quickly) and “swing for the fences” (to act or perform with maximum intensity). In baseball, you swing and then run, and that is possibly the mental image the speaker had when she uttered this one. Also, the word “for” is common in both phrases. A big thanks to Ralph Aikman for hearing this one and sending it in.