aonk
I have a friend with the same problem. She now volunteers for a charity which organises transport to hospital appointments etc. Apparently you can block off the days you’re busy on the website and also choose days and times when you’re available. I’m afraid I don’t have any more details. My friend lives quite far from me but I think this service is quite widespread.
I used to do that, and once a month used to spend a whole day on the phone, taking the calls and finding volunteer drivers. But fairly often I couldn’t find anyone willing, and ended up doing it myself.
I only stopped after a few years when the number of people who were frankly taking the P*, using it as a free taxi service, when it was supposed to be for those who genuinely were unable to use public transport (and ours is very good) not to mention one old bloke groping me in the car! - just got a bit too much.
*I mean e.g. people wearing obviously new and expensive clothes, who liked to tell me en route that they regularly ate in this or that restaurant we passed on the way!
OTOH it was so often those who were evidently very far from affluent, who’d try to give me a pound for my petrol. 🙁