Depends on whether you control the business or not. If you control it (regardless of what structure you set up) then you are considered self-employed which is not permitted on TD (or any employment for that matter).
You can own part of a business in the US on TD (say you own shares in a corporation), but it gets iffy when you have a controlling interest or you're employed by it.
We had a thread on this before, I think what you could do is have a corporation own it, the corporation never pays you and all the receipts are held by the corporation, then when you're in Canada the corporation gets a Canadian business number and pays you at that point.
The huge problem with doing that (other than the complexity of it) is that you would pay a ton of corporation tax in the US because there is no payroll in the US while you're there, then you have to pay the money out in Canada and pay Canadian
taxes on it. You can't use an S-corporation in this situation, it would have to be a regular C-corp. This also gets you around not having an SSN as well as the immigration problem.
Technically though it might still be considered self-employment in the US (because effectively it's a job that would ordinarily be paid), although how they could catch you I have no idea. But the tax situation makes it unwise, imo. You'd end up with peanuts.
Steve.