Min room size for Wilson Audio Sophia or WP8

I would tend to agree that the SaSha/Watt Puppy would be too large but are you sure the Sophia would be? It might fit. I would contact Wilson to get clarification on the different models. The Smaller single woofer Sophia may sound fine in that space. Make sure your amplification is up to snuff.

Mechans, Do you not recommend Pass Labs gear with the Wilsons?

Strangely, I found that the Watt Puppies I had did not need a lot of room front to back. They do not boom in the bass, which is very well controlled (and just plain good).
I did use a Pass X350 amp.

more than enough space, but will respond well to room treatments, as all rooms do.

The 11' dimension is going to be the problem. I speak from experience. I used to own Sophia II's and after spending a small fortune on trying to tame the sound in a small room, sold them.

If you are going to set up the speakers on the long wall, you will need at least 1.5 feet from the back wall to the back of the speaker leaving a 6' foot distance from the front of the speakers to the listening position . This is not far enough. Plus, the sound will reflect off of the rear wall causing havoc. If you are going to set up on the short wall, you will need at least 1.5' from each side wall to the sides of the speakers, leaving 7' of space (tweeter to tweeter) between the speakers. This will drastically affect spatial depth of field, soundstage and openness.

Room treatments, cabling, electronics, etc., will help but not cure the situation.

Don’t get me wrong, Wilson's are my absolute favorite speaker. But they need room to breathe to enable them to sound they way they should.