Yes, I do understand the issue about travelling, and do think it the grounds for appeal (just making a more general point, whilst agreeing with the idiocy of it all)
If it is her allocated school, her travel expenses will be paid, but I definitely think that a detailed itinerary (including the odd 'after school' journey if she might stay for a club or sports event) sent to local councillors would be a way to go.
I also wonder if a member of the family can do that journey a few times over the next few weeks and talk to regular users? They will get a feel for the general set-up, where for instance could the child go if a bus didn't turn up? (Happens often here!) and will all the grist to the mill.
I have friend who appealed on those grounds and got a taxi for her son - a ridiculous waste of rate-payers' money, but better for the child - although they couldn't go to after-school activities, or call at a friend's house or anything outside the allocated journey.