It's not clear what you want to do. The PhD is jokingly called "poor hungry dogs/devils." That is, you get a PhD to do something, not make money. Some students in the arts seem to think its playtime. In physical sciences, you work a lot harder if you want to get out on time. Some who want to goof around may take 12 years or more. We called their eventual degrees (PhD or terminal MS) as compassionate degrees. Some degree paths normally take longer than others. My point of reference is chemistry and biochemistry. I have read that physics often takes more than 4 or 5 years.
Is the $2000 per year or per month? When I was a grad student our stipend was $199/month (food was about $25/mo and rent about $110/mo). I suspect it's per month, and it is possible to get by on that in some American cities, but not in others because of very high rental rates. Is there affordable grad student housing?
What's not clear is whether your purpose is to immigrate to the US or further your education to make you more employable in Canada? Training in the US will provide contacts for eventual employment, but a student visa will require you to return to your country of origin for awhile (e.g., 2 years) before applying for immigration. At least, that was how it used to be. It might be quicker to get the PhD at a Canadian university then immigrate as an essential worker or whatever the current term is.
Depending on the times, a PhD can make it more difficult to find a job. For example, there may be jobs for which someone with a PhD is "overqualified." That is probably much less so today than it was in the late 60's and early 70's.
Bottom line, if you want to work hard and do research, a PhD is almost mandatory, except in medicine and perhaps electronics. If you want a place to tinker around for 4 to 6 years, a PhD is an option too, but the purpose and end result will be different. (My comments are related mostly to physical sciences, not fields like art, education, history, business, etc. )