Hi there and welcome; you'll be able to get coverage for the pregnancy (it's compulsory to cover pregnancy) and there is a useful document here:
http://www.
hebamme.ch/x_dnld/tools/iamameh/Broch_Anglais.pdf
You won't be able to get more than basic coverage for the pregnancy since it's existing, but if you want to go somewhere private the basic would cover medical expenses and you could pay for the additional expenses (e.g. for wochenbett, which could be high). This is what I did to be able to go to a midwife led birthing house rather than hospital.
good luck!