Are you kiddin'? You have the perfect excuse to indulge in a stack of Parasound Z-series components. They are all 9.5" wide, 10" deep, and 2" high w/feet or 1.75" w/o. They are oriented toward custom installations, home theater, wiring the whole house for sound, etc. They come with 12V trigger inputs, dual zones, and the ability to daisy-chain the amplifiers or turn them into 90w mono mini-beasts. And if you have to cram too many little Z components into a small space, they even make a fan unit in a matching housing. It's not an integrated amp, but the Zpre and Zamp together would only occupy 9.5"w x 10"d by 4"h.
If you can't find a local dealer, you can get them from Audio Advisor.
If you can't find a local dealer, you can get them from Audio Advisor.