"email quote" button override

I'm trying to override the "Email Quote" button so that I can just pass a template ID into the URL. If I use just an s-control and create the url myself, the issue is I can't pass the quote pdf into the URL.

I suspect this involves using "$Action.Quote.EmailQuote" and then adding "&new_template=<template id>" to the end of the url that is used there but beyond that, I'm lost.