impossible unless u pay Canada

Tax and US tax both for these 3 years. You could keep your Canada GC when you stay in US as long as your spouse is Canadian citizen and you live outside Canada for accompanying him. But for Citizenship, you must physically live in Canada for 3 years in the past 4 years. Judge would ask for your 3 years canada tax return and passport to make decision. So it is impossilbe to get citizen without living in Canada. Good Luck!