One option would be to declare your Swiss address as your permie address - and then your UK one as your 2nd home.

You can then claim a lot of expenses back against tax - including rent. It is basically what the MPs were doing - and it is technically legal.

I used Parasol when I was in the UK and they took care of the paperwork (for a fee) - but it did mean my net UK tax exposure was similar to Swiss income tax.

However, it can only be done for 2 years - which is why the MPs moved residences!!