When you mounted the PCM on the fender did you assure a good ground to the case?
I'm not sure of the '97 (no reason to think it would be different) but the '03's require a good ground connection of the mounting tab to the STEEL tub.
The proper sensor inputs to the PCM is what ultimately causes it to signal the ASD to close and provide 12v power to the coil, injectors, and O2 sensor heaters.
The signal from the PCM to the ASD relay is GROUND (-12vdc)
If by jumpering you mean the comm. to N.O. of the ASD relay you are bypassing the coil power.
Have you tried jumpering ground to negative terminal of the ASD relay?
This would let you know if the relay is functioning.
Also, if you remove the ASD relay and jumper to run the engine you could check from +12vdc to the grd terminal port for the relay to see if it is present.
Sorry if some or all of this has been already addressed... I'm just trying to help, I feel your frustration.