will2045
GMillion$ is right. There's lots of info in the Tech Section on diagosing the problem. I'm dealing with this myself right now, and the info there is very helpful.
Assuming there is something wrong with your tranfer case actuation system (as opposed to the transfer case itself being bad) there are four components (sort of).
1) the shift motor
2) the push button module
3) the electronic shift control module
4) all the wiring, fuses, fusible links and connectors in between
Check your fuses first. Verify the system has power.
If A-Okay, then move to the next step.
If you push the buttons and hear clicking, the modules are probably working and your t-case shift motor is probably bad. Easy replacement. (Sometime they work again just by taking them off and putting them back on.)
If you don't hear any clicking, One of your modules is likely bad.
Read up on how to test/reset the ESCM (electronic shift control module - easy - push the button - watch the light blink). If no light, check power to the module (read how in the tech section). You can also check the functioning of the pushbutton module this way. Chasing down wiring/ground/short issues is probably more difficult.
If you follow these steps, you will likely identify the problem fairly quickly, with a minimum of effort.
Good Luck!
CraigK
PS I'm new at this, so if I gave bad advice above, feel free to educate us.
PPS I didn't read the second page before I posted. You've done most of this. If you have clicking at your relays, the problem is likely your shift motor.