Could compression therapy help with varicose veins?

My husband suffers from varicose veins and because of them he has a chronic wound on his shin. The doctors have told him to wear compression stockings but the last time he wore them they actually made his legs worse. The elastic at the top was too tight and acted as a tourniquet. I was wondering if something with a compression pump might work better for him. He is deathly afraid of needles so all of the current treatments to get rid of the problem veins are not a good option.