I agree with hiring a sitter also, perhaps another SAHM looking for some extra income that also has a child of a similar age etc. I am not comfortable with strangers looking after my child but in this circumstance I would do it and I would prefer it to be another mum. That way you are only paying for a couple of hours instead of a full day.
I get what a pain it may be, I don't drive and sometimes the thought of having to arrange plans around public transport and sitters etc gets overwhelming, but I just force myself to do it.
Is there anyone that does phone appointments after an initial appointment in person?