Hi little bird. It sounds like you're a lawyer, so am I.
I found the initial parts very difficult, as I would get slotted in whenever there was an opening, which resulted in a lot of schedule juggling. Fortunately I work at my own firm, and my partners were very supportive. Once all the initial diagnostic stuff was done, the appointments were far more regimented with much more notice.
Have you tried talking to a co-worker about trading off certain tasks? Usually people have at least some clients they don't particularly like and if you offer to do stuff for them that is more drudge work, they will often trade. Also, can you set up work remotely? I did that on my ipad, as I spent a lot of time in waiting rooms, so I was still productive. If you have someone do the driving to the treatment, you can work in the car on the way there and back.
Hope that helps.