im not sure this applies to Switzerland but Framework now allows freight forwarding within the EU it seems (it also seems recent as most older discussion says it was prohibited).
https://knowledgebase.frame.work/en_us/eu-unsupported-SJByUb7a
Also, I think a delivery to Switzerland is not too far out as they have finalized a keyboard layout a while ago and this is a necessary step before delivery.
(Notice how there is Sweden in that list which is now available for a laptop to order too officially).
I’m hoping these countries get expanded to soon!
You only mention your laptop is running out of space so you need to get a new computer? does your laptop have a soldered SSD? If that’s not the case, I think the reflex should first be to see what storage you can get your laptop so that you can keep using it rather than discarding it :(