Well, if the ground is white than we probably don't need to worry about the green veins. If it were me, I might have a soil test done to identify if it was a sodic or saline soil. It certainly seems like it's one of these, or both. ND is full of them. A test might help you determine an effective treatment plan - you could probably work with someone in your university's extension office to develop one.
I think gypsum could be a potential solution, one of it's proven uses is leaching salts out of soils. Having never delt with these types of soils in person, I can't give you a recommended application rate. Extension should be able to though.