Could I suggest controversial?...
As I've said before in the UK we do things slightly differently in terms of the Stage Management Team, its tried and tested and works really well. So how about...
Having a SM (you) who's responsibility is to run the Stage Management Team. They look after the Stage Management budget and props budget, Work with the ASMs to prop the show, Liases with the Director and Designer at all times passing on important information and in tech week the SM Runs the Technical Rehearsal with the DSM.
And then a The Deputy Stage Manager (DSM - who could be your the ASM you know already) could run the rehearsal room, create and post rehearsal calls, write and distribute rehearsal reports, look after the director (fetch coffee!) and then in performance can call the show, write Show Reports etc.
Then we also have an ASM (your Directors Friend?) who can prop the show (source and makes props), run errands out of the rehearsal room, attend and run additional rehearsals like Dance and Music Calls (when the DSM is in other rehearsals), create and maintain the props plot and helo the SM run the deck.
If you can afford to have an extra person in the SM team and you can work out a good system then why not, it can only make your life easier!
Sam x