Hi Jen,
If you already planning to do FFS, I think your plan is the best way to go. That way, there will be far more congruence between what people see and the message they hear.
However, depending on what you are planning to do, be careful about the amount of time you allow for recovery. Four weeks is probably an absolute minimum following forehead, rhino and chin/jaw work. Who are you doing your surgery with?
Otherwise we are in a very similar situation employment wise except that my employers also insisted on me having my Civil Identity Change behind me before I could make what is going to be a very, very visible transition, 1900 people in our own company and many others I work with in partner businesses.
News of the day is that the administrative court handling my CIC request has just delivered a positive ruling which should be confirmed early next spring. Hallelujah!
Wishing you all the best!
Donna