So, here's what I imagine what a talk from Lin and Anthony to the Hamilton fandom about shipping (if it went REALLY out of hand) would look like...

Lin: Hey, Hamiltrash, we, uh... we need to talk.

Anthony: (Nodding) Yep...

Lin: So about that whole shipping thing, it's gotten a little out of hand.

Anthony: More like a LOT out of hand, I mean it's gotten VERY crazy. 

Lin: And what we want to say is...

Lin and Anthony: STOP WITH THE SHIPPING...

Lin: (Sees a fanfic writer writing smut) That means you, fanfic writer! Delete that [insert any Hamilton ship here] smut right now!

Lin and Anthony: ... BECAUSE IT'S GETTING A BIT OUT OF HAND!

[A/N: This headcanon does NOT reflect my thoughts and feelings about shipping as a whole... I DO ship Hamliza and Philidosia myself. This was just what I thought would happen if Lin and Anthony found out about the crazy side of the Hamilton shipping culture.]