As an update, I gave up the search.
The few who actually understood what I was talking about when I wanted to order (Fredells, Bygma) could order, but for a beam for 6-700 SEK, they wanted just as much in shipping. I ended up buying a lightweight concrete beam/leca beam at Optimera (in Länna) instead from their stock assortment from Finja. They have the standard 150x190x1100 and 190x190x1100 and longer in stock, so it can be recommended if anyone else has encountered the same problem.