Where there's a passion, there's a way.
But which way is north in your picture? and by "the right side of the house" do you mean the right side (not in the frame) or what we're seeing on the left side of the picture? This looks like the back
yard.
It's basically never a good idea to put a greenhouse on the north side of a house in the northern hemisphere. If you need to put it there to hide it from the road, then it's gonna have to be free standing, or you're going to have to get fancy with some kind of mirror setup.
I'm thinking probably better to start with just the mass, rather than the
rocket mass heater, for a year or two, as that will already store heat from the day and moderate temperature at night.
I'm not an expert on this, but at least some of this is some commonsense things you may have missed seeing, so just want to cover those bases.
If you want a greenhouse on the street side of the house, there are many elegant ones built on fancy houses, I'm sure if it's pretty
enough probably no one's going to say it violates code.