Welcome to FT davor!!
A bit more information would be needed such as your flying patterns (what airlines, class of travel, which routes, how often you fly, price of the tickets etc).
Also, you said that you are a member of SAS Eurobonus, what level?
If you have silver or gold you may get one of the US airlines to comp your status based on the fact that you have changed flying patterns and will be travel much more within the US.