Are planar speakers less prone to room interaction?

"Ok, here's my situation: my listening room is nigh untreatable, due to room issues and wife factors. The room itself is 30' x 15', with windows on one side and it opens up into the kitchen halfway down the other wall. The back wall partially lofts into a 18' x 15' bedroom. The ceilling is 14' high.

Just due to volume and the insanely varied surfaces and general asymmetry of the room, I'm not sure what I can do to contain the room interactions that I have to deal with. I have some home-built acoustic panels high up in the adjoining kitchen to contain the standing waves that would develop there, and that helped but I'm not sure the wife will let me put up any more of the things.

My question: are planar speakers less prone to room interaction? It seems like they would be, simply due to the dispersion pattern. I've always coveted Martin Logans (and used to own and love a pair of Maggies) so I'm certainly open to the idea.

Second question: how do electrostats do in large rooms?"