04-13-2007, 07:42 PM
Most of the drywall I've seen installed in the last 10 years ends up 1/4" - 1/2" above the floor, with the installers figuring that the "gap" will be covered with baseboard. So if you very gently remove your baseboard, there is probably a nice gap under the drywall where you could run the Cat 5, and then gently reattach the baseboard to cover it.