"How about never? Is never good for you?"

About moving the period outside of the quotation marks.

ADDED: People in the comments are talking about what makes sense. I say:

It's not about making sense. It's about aesthetics. What feels right? We are accustomed to the quotation mark holding and containing the period and if the period is exiled from that embrace, we will have the uneasy feeling that it might roll away.