I'm in the process of pulling new phone cable for my house and tied the old
cable to the new cable with electrical tape. Unfortunately the two became
separated and now I need to push the new cable through the 1/4" or so hole
in the wall and out the house. I know the holes aren't aligned, so I'm
hoping there is an easier way to do this that doesn't involve "cut the
drywall" The jack that it came from was a surface mount jack, so there is
no box in the wall, just a hole in the drywall.

I know that there is fishtape, but for some reason I thought the head on
fishtape was larger than the diameter of phone cable. The holes are almost
exactly the diameter of the phone cable, if not smaller, whoever did the
fishing of the wires did a really good job. The hole is small enough so
that looking through it is hopeless - no eyeballing this job.