Again, I you don't trust the Finnish system, why do you stay?actually i did not say private doctors are better than others.i said in the general way for every doctor.
If things are so much better in your home country, why not go back , take a health insurance, get pregnant and have the baby there.
Your health is probably the most precious thing you have. Why risk it in a country with a low health care reputation?
What I can read from your situation, you don't have permanent bonds with Finland and probably will leave after some time.
So I don't understand the fuss about having the baby here.