That has to be a power thing. Even on regular CAT5, I don't think you are supposed to have any data loss until you go over 100 meters. (Way longer than the supplied cable). If it's a voltage drop thing, maybe CAT 6 or CAT 7 would help? That's why for POE, to maintain 12vdc at 100 meters, you inject 48vdc and let the device regulate whatever is left at the end of the run down to the needed 12vdc. Given that, if you could identify the power pins, you could (in theory) cut those pins at the head, then inject that voltage on those pins closer to the face to get up to 100 meters.
FYI, I'm not a professional IT guy, so this may work, or you try this and your face plate explodes.