Instead of trying to take TUI to the cleaners as you put it why not turn your attention to Birmingham Airport and take them to the cleaners
Seriously TUI are a top class airline wanting to provide a top class service. They couldn't provide the usual catering because the caterers around the UK haven't the staff to cope with summer demands. Try taking them to the cleaners as well.
I wish you luck in your pursuits but I feel like others on here you won't get very far and you may be taken to the cleaners instead.