That's some very interesting info on U22.
So, to break it down: All pins on the latch bus are high, *except* LD2 (pin 13). LD2, through another pair of latches (U23 and U24), also controls RPT and OFS. (Although you also put pin 13 in the "always high" list - perhaps a typo?)
It could be that the latch bus driver (U16) is not working, or it's working and it's fighting with a dead or errant chip that's holding most of the latch bus lines high.
At this point I would verify power supply levels on all chips connected directly to the latch bus (U16, U22, U23, U24, U25, U26, U37). Also check U18 since it's controlling U16, and U21 since it's controlling U25. And when I say verify I mean measure directly across the pins on the chip to make sure there's not a cracked trace or bad solder connection somewhere.
Next, there are only two chips I see that can output onto the latch bus: U16 and U25. They could be fighting each other if they're on at the same time. Check the control signals going into both of them (U16 pins 1 & 11, U25 pin 1).
We're not quite there yet, but if it turns out that 1 of the 7 latch bus connected chips is likely bad, it might be tricky to track down which one it is. What test equipment do have to work with? Are any of the suspect chips socketed on your board?