How much should cost a swiss director of GmbH?

Hi,

I'm EU freelancer and have some clients in CH or very close to (german side).
Up to now I've invoiced as german freelancer, but now I'm thinking about launching of GmbH in Switzerland, just for invoicing. That will be one-man-show, I do not plan to employ someone.

The main problem is also, I do not want to live in Switzerland permanently. I'd like to live outside EU. So probably I need a swiss director or someone else with permanent domicil in CH. Is this correct or can I stay a director without swiss permit?
If this is correct, how much should cost such a service in CH?

Maybe you have any other ideas for my situation?

Thanks