I don't know that this will help, but can you ask your employer if you can take your lunch at the end of the day one day a week, after you've established the time with your new therapist (If your new T has appointments at like 4 or 4:30)?

Maybe say something like, "I have an appt that is at this time every week and I would like to see if I can take my lunch hour at the end of the day on that day so that I don't miss any work" (an hour earlier than when you normally leave). That should suffice, even in a small company.

If you don't volunteer where you are going, they won't ask and if they know you are willing to make up the work, I've found employers to be pretty open to this. This is what I do (and I work for a very small company) and it works. Hopefully it will for you as well.

Good luck figuring it all out. I understand how hard it is juggling everything as I also have to get son to his appts throughout the week on top of my own.