Nothing to add about the solicitors side of the profession. EagleLegal has given you very good advice.
Barristers who do aviation work don't see as wide a variety as specialist solicitors, but we do other non-aviation work. Also, the thought of standing up in court has to appeal.
If you want 'a career in aviation law', then becoming a solicitor will give you a better chance of fulfilling that ambition. If you want to know more about the Bar, feel free to e-mail me.