Canada doesn't have a TIP or TVIP. I believe it is the same for the USA
Strictly speaking it looks like you can't store your bike in Canada if you leave.
That being said you could:
1.) Talk to the Canadian authorities and ask if they will permit you to leave it for a specified time.
2.) Or just go ahead and store it when you want and plead ignorance if you run into problems. It looks like the main thing is they want the bike exported. If it is not on the road it doesn't need to follow the MVSA. If it is stored near the border to the USA, it would be quick to export it when you got back.

For myself, I would be tempted to go the second route.

From the Transport Canada Website:
"I will be visiting Canada with my vehicle. Do I have to formally declare it for importation at the Canadian border?

No. Section 7(1)(b) of the Motor Vehicle Safety Act (MVSA), allows a visitor to temporarily enter Canada with a motor vehicle without complying with the MVSA if the vehicle is used only by a visitor to Canada or a person passing through Canada en route to another country.

Notes:

You alone may use the vehicle.
Any change in your status, such as receiving permanent residency in Canada, may make your vehicle inadmissible and you will be required to export or destroy it.
You may not sell or gift the vehicle while in Canada.
The vehicle cannot remain in Canada longer than the time limits allowed under your temporary entry."