Re heat, there's a vent near the bay window, I will close it. That's what I do in my current piano space.
So, Shawarma_Bees made this visual for me and posted it at PW, it's super helpful to see it. I think this is the diagonal you mean, and it's what I'm thinking will offer the best acoustics.... The question is, will it look ok, and will the room look/feel too small that way...