I am a US citizen and a permanent resident of Canada.

You could do a HELOC (Floating Interest), Hybrid HELOC (Fixed at EACH time of Draw but the draw rate is based on the Interest at the time of Draw), or a 2nd Mortgage (Permanently Fixed at Origination)I prefer Hybrid HELOCs as the rates are fixed at the time of draw and that stability allows you to plan for the future. 

This will take time, and you will have to rinse and repeat a few times, but it will work to permanently or at least semi-permanently solve your problem. 

Tenant just moved out, cleaners found they used the wrong type of cleaning product on the stainless steel appliances, causing a permanent discoloration. 

The permanent financing (your fixed-rate long term mortgage) is done right away, about a week after the initial close.Additionally, there is no waiting for a higher value.

The interest-only balloon of 3 years with a buyer option to extend for 2+ years will give you time to secure permanent financing.

The investor promised to return their $25,000 plus an additional $10,000 when they refinanced the property with permanent debt. 

VA loans would be on the permanent side of lending, not the construction side.  

With that flexibility, you'll also have access to your property for vacation until you permanently move.

The capital gains just go into the next property, they don’t go away permanently.