The solution is to let people who want to watch and consume bbc content pay for it, and let everybody else not pay for it. It's very simple.
This would be quite damaging for the UK as the BBC is a great way of projecting soft power, plus it provides quite a lot of great resources (as has been pointed out in other comments).
I'd be more in favour of a system like Germany has to be honest.
The BBC is similar to these things in the sense that it provides good value for the taxpayer, and contributes quite significantly to society (even if it doesn't directly effect you in the sense of you consuming their content regularly).