Sadly, at least in the North American market, Google’s Pixel phones are basically the last good phones you can reliably install your own ROM on.

Realistically Canada is going to put off allowing asylum seekers from the US as long as possible, as the volumes of asylum seekers the US handles (that are no longer welcome there) would overwhelm Canada. That’s without considering American asylum seekers too.

You best bet is to consider immigrating through traditional, economic based pathways.