Depending on humidity, you may have a substantially easier time making an evaporative cooler. At least until you can get that wall unit shipped. These are A LOT simpler, needing no pressure regulation, among other things. A good one will have a heat exchanger, though you can do quite a lot just by blowing a fan through a soggy sheet of linen or even just misting water into the air.
First rule of thumb -- never engineer what you can buy. It is NEVER as reliable. R-134a is an irritant, and you don't really want to blast it into a room because your electric motor was out of alignment with the compressor and killed it (for instance), especially if there is the possibility of sparks or flames (then, it becomes toxic). And keep in mind that mistakes in your installation can, in the worst case, make it a bomb. There are a lot of ways to screw up.
I doubt using a mobile A/C in a fixed location is legal in Canada, though I suppose it might be.
And I'll say it again. The power you need is a function of the outside temperature (and humidity). If you can say what the "peak" temperature is, then you might be able to guess at the peak power.
RBV air conditioners do not run continuously. They are pressure-cycled fixed orifice tube systems. It is VERY important for you to understand how this works before building something with it.