There might be some way for you to get a temporary residence in a reasonable delay, but for permanent residence, there is no fast track currently except the express entry, which does not seem available for you.
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What's the quickest way to get permanent residency in Canada for Americans?
I'm a doctor in my 50s based in Washington and want to move permanently to Canada with my large family; I have some savings but I don't know French. What's the quickest way to get permanent residency in Canada?
There would be many ways. I recommend you reach out directly to a Canadian immigration lawyer to see the different alternatives and pick the best one for you.