Unlikely, but even if uploading the file worked, I doubt a public file-sharing site would accept anything that might infringe someone's copyright.
Since The Texas Channel is on TWC, and TWC sets the copy-once flag, it seems the only ways to record a show for someone else's use would be either to make an analog recording (stripping Macrovision if necessary), or for the OP to lend a laptop to someone with TWC. The file would have to be played back on the same device that recorded it.
DRM sucks, but that's the world we live in.