Hi raul,
well this is why we suggested to do a load drop test on the battery while operating the truck, because it sounds alot like its loosing the voltage needed to run the drive. The hydraulic system pulls a heavy load on its own and being that it is contactor controlled and not scr it pulls a consistent direct load off the battery when engaged, it is not tied into the main control other than the BDI for low battery lift cutout, it just taps its power off the main power circuit on the bus bars which are tied into the same circuit as the drive where it taps its power off the main positive standoff. If the voltage drop is too high it can cause the drive to drop out. At least from the symptoms you describe that is what lead us in that direction. Loosing drive when hydraulics are activated is a classic example of a battery low voltage issue, especially if it is contactor hydraulics. The code 57 might just be getting triggered because of low voltage across the drive circuit.
You may want to go back and double check the drive fuse and all the bus bar connections on the contactor panel. Make sure there are no wires rubbing against any bus bars or any wires routed around any contactors make sure they are not rubbed or melted and stuck to any grounded component.

Now as for the rapid tune up settings? i do not have the yale manual in front of me at the moment or on this computer but i do have them and i will get back as soon as i can and post them. I'm fairly sure they will not help this situation but for future reference i can give them to you.