If its a single member LLC, the Federal IRS considers it a "disregarded entity" for tax purposes. 

Therefore you may prefer to take ownership of your new property through an LLC, which you can do without violating the same taxpayer requirement - provided it is a disregarded entity for tax purposes, which is attainable only if you're the only member (owner) of the LLC.

@Austin StowellI don't think this strategy will work.LLC's are considered disregarded for tax purposes if there is only one member.Renting to yourself will be considered a personal item and as a result not a rental business.You may want to see if a portion of your house qualifies as a home office.

@Randy Wieland, Husband/wife LLCs in community property states can be considered to be single member LLCs or a disregarded entity for tax purposes. 

For income tax purposes, a single owner LLC is disregarded and treated the same as the individual owner.

Establish a disregarded LLC and appoint as the beneficiary of the Trust and manager of the Corp4.

These are just few recent high-profile cases where the courts disregarded the DAPT jurisdiction: In re Huber (2013), Dhal vs Dahl (2015) and Toni 1 vs Wacker (2018).

Matt:You will not be exempt from U.S.A. taxes.The CRA does not recognized LLCs, as a disregarded (pass-through) entity, but treats them as a body corporate regardless of how you elect for the LLC to be taxed in the U.S.A.  

I am disregarding all the past costs we paid to purchase the house or obtain this loan, considering it is a sunk cost, and I would like to have some long-term investment property. 

Property must be held directly by the individual or through a disregarded entity by the individual or passthrough entity seeking the 199A deduction, e.g., a person who owns a single-member LLC which holds a property would qualify2.