I've been thinking about this for days.
I don't know where you are with God. If you do pray, pray enough for an answer. Once you get it - GO WITH THE ANSWER.

or

Do the "through the back" option to avoid possible voice cord damage.

But you asked what I would do. I wouldn't get the operation until I got the ANSWER. Then I would go with the answer.

Probably all of this you've already thought of.