But I thought providing you have the evidence they ask for in the UK EEA application forms, it's free and can be done from within the UK, as long as your Swiss wife comes to the UK as a Swiss national? As far as I know, anyway.
You would be applying to the UK for an EEA permit, as far as I understand, and therefore, would need what the UK government asks for, not the Swiss government.
So I'd check what's asked for on those links and see if anyone else has any other thoughts on the matter. Could save you a bundle.