A good site to start with, just so you know what you're getting into
http://www.zillow.com/local-info/AZ-...value/r_40326/
That is the trending of home prices in Phoenix. Zillow isn't the end all and be all, but it is a very good gauge for the market. This is what I do pretty much every day. But I do not know about splitting it with Canadian financing, sorry. Suffice to say, imo any home purchase right now will depreciate for a while, so if you're ok with having no equity in the property for a good amount of time, go for it.
The one thing I can say - with an american mortgage, get a fixed rate. Period. Anything else is asking for trouble. I can probably answer more specific questions if you have them. Who knew I was good for something other than drive bye one liners!