Yeah, that link works fine, I can see the pictures. The blacks are all grounds, so don't apply power to them. Ok, let me do a little brain dump...
Based on your photographs, we can say conclusively that you have the keyless entry option.
Now, here's the snag and it's a whopper for what you are trying to do.
In the regular power locks, the power lock switch sends +12V and ground to the locks on two wires. To lock, the polarity is one way, to unlock, the +12V and ground are reversed. It's like a DC motor going forward or backward. You swap the wires and it changes direction. It's very simple without the keyless entry.
The keyless entry is entirely different, and if you follow me, this is going to answer a lot of your questions. The power lock switch does not go to the power locks. It feeds inputs to the keyless entry module. The module has outputs that drive the actual locks.
So, it will not work to simply apply additional power to the lock switch because it doesn't go to the locks. It goes to the keyless entry module. And, it doesn't apply power, it sends a ground to the keyless entry module. This is why there isn't power at the switch, that's by design. So, there isn't wiring at the switch that directly drives the locks.
Switch -> Keyless Module -> Locks
Now, where to go from here?
Option 1: Rewire
You could pick up the wiring to the locks from the drivers door, so it's actually pretty close. You would need to get a constant +12V into the door. And, I think you should probably cut the door lock drive wires at the keyless module to prevent backfeeding +12V. Maybe that damage is already done, and it wouldn't matter.
Option 2: Troubleshoot and replace the keyless module
This almost sounds like the easier option, except it's in a terrible location, behind the plastic over the left rear wheel well.
I'll write more in the morning.