CANADA_TO_US

Best of luck

So did I

It is the one @HRQX shared. 😊
https://www.uscis.gov/i-90

Unfortunately, there is a fee.

$540: https://www.uscis.gov/i-90
See (H1)

Check on these links, they might help. 
 
https://www.uscis.gov/ilink/docView/SLB/HTML/SLB/0-0-0-1/0-0-0-53690/0-0-0-55807/0-0-0-55820.html
 
https://www.uscis.gov/ilink/docView/SLB/HTML/SLB/0-0-0-1/0-0-0-53690/0-0-0-55807/0-0-0-55828.html

The actual physical card has a different category printed on it when it is a commuter one. I know of people who had gotten the normal one changed to commuter at the port of entry but I don't know if they needed to replace that marked card eventually and if CBP does all the needed paperwork to inform USCIS of the new category -I guess they do?-.
 
In any case, it is worth a try, especially if you can avoid waiting times and paying fees. 

Is the point to live in Canada to not have to relocate or other reasons?  You may need to pay Canadian taxes as a non-resident and have health care insurance.  I'm not sure exactly how it works and you likely should consult an attorney. 

Thanks...This is great....I have learned something today....😁

https://www.uscis.gov/ilink/docView/SLB/HTML/SLB/0-0-0-1/0-0-0-53690/0-0-0-55807/0-0-0-55820.html