We have a local minor injuries clinic which was a great find - much faster than A&E. Might be worth seeing if there's one near you. It only does things like sprains or breaks following an injury.
Actually when my student daughter lost the ability to speak after a head injury or to write... it only lasted 30 minutes thankfully, she was whizzed straight through casualty as fast as I've ever seen it, waiting room full of toddlers with hurt arms etc but because of her possible immediate brain damage they were brilliant. It was very good triage but I felt sorry for all the parents with little ones there waiting.