Read 'em all, not just what you were able to find find on the uscis.gov.
Here's a good example, from a legal site, where DHS practically insists that one be a contactor, and TN would be denied as an employee:
http://www.tnvisabulletin.com/independent-contractor-manage/
■One of the more prevalent reasons for a denial of an application for a Management Consultant TN is that U.S. Customs and Border Protection officials allege that the applicant is an actual employee of the sponsoring company or that the applicant is assuming a permanent position within the regular structure of the company. In order to address this concern, an agreement evidencing the independent contractor relationship of the consulting engagement should be submitted with the application for TN status.
"Most non-immigrant worker categories do not easily allow the freedom and flexibility associated with freelance work. Most, including the TN, require the sponsorship of the employer you provide services to. This means that each company you provide services to would have to file a separate application for a TN on your behalf.... Although U.S. immigration authorities have reservations about this arrangement, I do not believe they are warranted."
You cannot open up your own business in the U.S. and have that company sponsor you for a TN.
But you can have the US company sponsor you.
From the CBP NAFTA Handbook (in case you never heard of this)
http://spatialnews.geocomm.com/features/tnvisa/naftahan.pdf
Pre-arranged Professional Services. In order to obtain “TN” classification, a businessperson,
including one who is self-employed, must be seeking entry to render pre-arranged professional
services to an individual or an enterprise. If the business activities are to be rendered to an
individual or an enterprise, the enterprise must be substantively separate from the businessperson
seeking entry. Moreover, the business activities must not include establishment of a business or
practice or any other type of activity in which the businessperson will be self-employed in the United
States.
also, under the definition eligiblity for management consultant TN:
...Management consultants are usually independent contractors or employees of consulting firms under contracts to U.S. entities....
More?
http://www.greencardlawyers.com/workvisas/TNvisas.html#Self Employment and Contract Employees
Self Employment and Contract Employees
The TN is not available if you set up a business in the United States and then sponsor yourself for a TN visa. The regulations specifically do not allow self-employment for TN holders, unless you perform services for a U.S. entity. TN holders may not be sole owners of, or hold a controlling interest in, their sponsoring companies. If you are seeking to invest in a business in the United States, you may want to consider the E-2 Treaty Investor visa category.
The TN applicant does not have to be an employee of the U.S. company; you may be a contract employee under certain circumstances.
So, TN can (and by the way, dozens on this forum have reported getting them) and will be granted to a contractor, as long the sponsor in the independant US firm and not related to the beneficiary.
Again, you may have some area of knowledge, judging by the number of posts you've made, but TN is not one of them. Thanks for dropping by this forum, however. Better success next time.
Ottawa, let us know what happens, I'm 100% confident you will get your TN under the arrangemnt you describe.