I think you should check with an accountant whose familiar with cross border tax.I am presently living and working in Canada for little over 900 days without a single absence. Waiting to finish 1100 days without a single absence, sending in citizenship application and will likely leave for a better job and weather in the US. I know some might not like it but over a million Canadian citizens live and work in the US. If they are able and chose to do it, I dont see why that would be an issue for PR becoming citizen by completing all formalities.
Someone can argue that citizenship application might take long to put a person out of RO. To which I would say if you spend 1100 continues days inside before submitting application, there is no way you fail RO for the next 3 years.
IMO, I think you can still declare as a non-resident (tax-wise) and own investment properties. You would pay tax on the investment profit but not on the foreign income. That has nothing to do with your provincial medical coverage. (different requirement)
Again, check with a professional. It depends on all the details (you have family still living in Canada, you have other activities/ties ...etc)