This may be a little overkill for your application, but this is what I did here.
I had all 5 of ours running off the aux pack (like yours are) and it was right at the distance of limitations around 500 feet from the switch. I would have intermittent problems with the consoles loosing their displays. In this case I have a MDF right under the switch board. I ran new cables to a 66 block and laid the power down on the Brown pairs. I had the power strip plugged into a little 500kva ups. Guess what? No more problems.
The 302 A,B consoles are cabled like the 7400 series sets. You would use the white orange white green pairs. The C's and newer are set up as a single pair setup and use the white blue. Wire the power to pins 7 & 8 (white brown pair) like dwalin has said, and you should be good.
It would be easier to do this using a regular USOC RJ 45 jack as it is straight through. The Cat 5E jacks if I remember right you have to reverse the brown pairs to get the voltage on the console.
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