For EVF,
there is no perfect fit to the 3.5" screen without modification yet, Zacuto and Kinotehnik are both making one which should be available soon.
In the meantime, a user on BMCuser had successfully using Hoodman Loupe 3.0 + Hood Riser HRS4 + rubber band to cover the screen.
For stablisation, there are a few rigs for stabilisation I had been eyeing for,
Zacuto Marauder/Enforcer which Philip Bloom had been using in his latest pocket venice videos, its foldable and seems to provide good support, its pricy though.
https://vimeo.com/73552615
Edelkrone also make a pocket rig, aiming at smaller cameras, you can also buy their focus pulling kit too.
http://www.edelkrone.com/the-pocket-rig
There is also Stealth by Varizoom, an all in one rig for small camera.
http://www.varizoom.com/steady-camera-video-camera-stabilizer-p/stealthy.htm