I am going to the UK towards the end of the month in my Viano (pic below). I have space for 6 passengers with luggage.
Route: NW > Lucerne > Affoltern Am Albis (nr Zurich IF NEEDED) > Basel > Dijon > Calais>>>>>Dover (by ferry) > West London
Costs for this all sharing would be max 100CHF one way. Same for return about 7 days after departure.
All rules you would expect from a Britsher pretending to be Swiss apply, ie: No smoking, eating, drinking alcohol or soft drinks whilst travelling plus help with cleaning
If you are interested (or not) write a load of old blether here & maybe even PM too