Send visitor question after chat initiated

Send visitor question after chat initiated

I am using the javascript API and trying to initiate a visitor question via a quick button after the chat has been initiated.

Here is an example:
User clicks a button that says "I want help with Checkout" which launches the chat session.  There will be other buttons on the page such as "I need help finding a product", or "I need to place a special order", but instead of having them type this out, I want to send that text to the chat window even if the chat has been initiated. 
From what I have read the visitor.question is only triggered when the chat is initiated.  After the chat is initiated, I cannot send any other questions.

Any ideas on how I can do this?
Thanks