So, in this hypothetical situation we've had an EMP that's knocked out all electrical systems and backups? On the E175 you're a rock with zero controls. But I suspect you're a rock with zero controls on almost every aircraft these days. Lose the FADEC, lose the engines, lose all hydraulics. RAT doesn't work since it's still powering electrical pumps that are knocked out by the EMP. No hydraulics, no power, no nothing.
On the 175, you still have ailerons (hydromechanical PCUs ttbomk), flaps (they're electric, but not fbw), gear, and possibly the ability to change pitch with thrust. Generally if you lose the flight control computers, but still have bus power, you only lose the higher-level functions like thrust-lever-angle compensation, rudder speed/stroke limiting, AoA protection, YD, mach trim, and so on.
The higher-level functions on the 175 provided by the flight control computers are simple deltas that alter the control signal; that is to say, you're not a vote in the process, you're commanding it—the flight control computers can just moderate that command somewhat. Thus my understanding is:
Bus power + Computers = FBW rudder, elevator, multi-function spoilers with higher-level functions, ailerons, flaps, stab trim
Bus power = Direct mode rudder, elevator without higher-level functions or feel unit, ailerons, flaps, stab trim
No power at all = Ailerons.
Certainly not an optimal situation.
-Fox