I'm going with Biden stutters out a half-assed fess up and Dr. (of Edumuhcation) Jill, doing most of the talking & crying, does a Hillary 'stand by your man' redux.
Diffuses the Reade stuff, inoculates him from anything else coming down the pike, and keeps prying eyes out of his UDelaware records.
He's all they got and every trick in the fucking book is going to be pulled to drag him over the finish line. My guess.