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The TN-1 doesn't really have much to do with anything, because you would be applying from outside the US as you don't live there, so you would have to fall into another immigration category that allows you to apply for permanent residency, whether it be family reunification or work-related.
If you plan on living in Canada and commuting, you wouldn't qualify for permanent residency.
The TN visa is not a dual intent visa. Unless your current employer intends to sponsor you for permanent residency (green card) then no, you cannot go from a TN to a green card.
Two corrections, you can do the TN to green card, its been done successfully for years with careful planning and the use of consular processing.
And yes you can do a commuter green card. Instead of filing for adjustment, you consular process. We are doing one of these right now for a Canadian national who commutes daily to the U.S.
Where the immigrant visa is filed with USCIS (I-140 or I-130) and it is indicated on that form that the beneficiary will apply for consular (also called visa processing) processing at the Montreal U.S. Consulate. The IV application is sent to the National Visa Center for processing and then sent to the Consulate to process the immigrant visa. The beneficiary goes back to Canada for an immigrant visa interview (and medical exam) and re-enters the U.S. with a green card.
With a commuter green card, consular processing must be chosen because adjustment is only available to those who reside in the U.S. The consular processing beneficiary notifies Montreal that he or she will commute. When the immigrant visa is issued that person also notifies CBP that he or she will commute and will be issued a green card (I-551) with commuter status.