I'm serious confused with your story and I have read through it. If your in the US, and she leaves to go to Canada, why not just file for full custody due to abondomint? Being in a different country shouldn't be a sign of an available parent and wanting to remove them from the US sounds like bs.
Ralph88 Me 40s W 30s, D5 D3 , M7 T9 2013 B drop 1, EA found 2016 B drop 2, EA/PA? 2/16 Physical Seperation 2/16 I filed for D 4/16 PA Confirmed