Other routes to Battle Medic could be Ranger or Paladin. However, the lack of Healing Word and need to use Actions for Heal and/or Lay on Hands leave me cold.
So, how about ... Bard?
One lvl of Life Domain - because medic i.e. Disciple of Life
plus HA :P - and then Bard of Valour/Swords?
No "loss" of ESL - a lvl7 Battledoc Lay'zel would have 2 attacks yet cast Healing Word and Heal Wounds like a lvl7 Priestess. At CHAR lvl 7 if Lore (no 2nd attack - hiss!boo!), or lvl11 if other flavour of Bard you'd get Mass Healing Word through Magical Secrets. Mass Heal Wounds is a Bard spell, so you'd get it anyway.
Song of Rest - play pretend that it is Prayer of Healing :P
Lore of Swords - play pretend that the Flourishes are Battle Manouvers, and that Fighting Style Dueling represents her medical knowledge i.e. "stick'em with the pointy end where it hurts mostest" :P
