score:3
Some suggestions from Comments (all mentioned by @WGroleau):
couchsurfing.com Link is to Stockholm but there is also a page for Gothenburg.
Airbnb Link is for first half of March.
BeWelcome "Step inside and invite travelers to your home, find hosts all over the world, and become part of our multicultural hospitality community. We are not-for-profit, open source, and exclusively run by members in a transparent and democratic way." May not offer much choice but is better than Couchsurfing International according to @WGroleau.
Trustroots Foundation Seems may require membership.
Warm Showers "Hospitality For Touring Cyclists Worldwide." Seems may require membership. Might not be suitable for other than very short stays, by cyclists.
If the above official/commercial possibilities turn out fruitless a more informal approach to an association linking Sweden and the Netherlands might turn up something - possibly in exchange for teaching some Dutch.
Other possibilities: