My daughter has 2, a superficial above her lip and compound on her chest! She was exclusively on propranalol from 8 weeks to 1 yr! I can tell you from experience that shortly after we started propranalol the compound (deep component) on her chest went away very quickly! Although neither grew any bigger, the propranalol did not reduce the redness! We have since done laser treatments which have done a great job! So I think your laser treatments coupled with propranalol is a great approach! Propranalol was covered under insurance, think we paid $3! More importantly we did not experience any side effects from propranalol - steroids have many!!
Hope this helps!