Hi and welcome!
Congratulations on the birth of your son!
We list doctors and hospitals that request to be listed, once we've determined that they do have experience with vascular birthmarks. Not being listed does not mean that they have no experience or expertise.
In my opinion, the treatment plan is a good and viable one. Propranolol sounds like the best and least invasive option.
Once you begin to see progress at the ear, then I would investigate internal ones if you'd like.
Let us know how things progress!