Just as a 'brainstorm' idea. Does anyone think that Discretionary Leave application might be a possibility?

If we do not recognise you as a refugee or a person who qualifies for humanitarian protection, we may give you
another type of temporary permission to stay in the UK. This permission is called 'discretionary leave to remain'.
How long you are allowed to stay will depend on your circumstances, but it is unlikely to be more than three
years initially.
Discretionary leave
http://www.ukba.homeoffice.gov.uk/as...leavetoremain/