That is an unreasonable concern. ICE is not forcibly diverting commercial planes, nor are you going to win the anti-lottery of being the first.

If your flight is going to land in the US it will be because of an emergency or diversion. In an emergency they will land wherever they need to for safety. Even domestic flights near the US could divert across the boarder. But that is also incredibly rare.

The US charges airlines overflight fees for passing through the airspace controlled by the US, this includes the most of the pacific and atlantic. Any flight to Mexico will have the airline pay a fee to the US for the ATC services.

If you want to avoid the US fully you'll have to plan a stopover in Europe, and South America or Africa. But I don't think your concerns are reasonable.