Jim, I 'm not sure what slideout mechanism you have, but all I have read about have a hyd pump with a solenoid/valve mounted on it for "Retract" and one for "Extend" (one set per room). I would check the solenoid to see if it is getting power (your inside slide switch and safety interlocks sound like they are working since the pump runs). The solenoid may be bad or the valve could be sticking open (so no pressure can build up to move the room). Also don't forget to check the hydraulic fluid. If your real low, you could be hearing the pump run but it's just sucking air.
If you were to manually open the valve for "Extend", I suppose a bunch of people inside the coach could push it open/out (but usually it's the opposite - the room wont retract so the Retract valve is manually opened and people on the outside push the room in. It's a lot easier to push on the outside wall). Being that your slide is a full wall slide, I doubt you will be able to push it out by hand.