It sounds a good idea. I have a similar (probably smaller) waisted space between my house and my neighbours and I put a small greenhouse in it. It doesn't feel like wasted space any more and I have somewhere to keep orchids
I have the oposite air flow problem, it can get
really windy between the two houses. I would guess that there is always
some air flow in your Side Yard, if not then fitting power so you can put a fan or two out there might be a simple solution.
P.S. I love your avatar. I've just realised recognise it and I've been there.