... I don't know anything about locating/tracing telecommunications circuits - and we have no equipment for that task.
Honestly and seriously, you should not attempt this work alone. You could disable part or all of their phone service, and if that happens, it could cost you a lot more than you'll be charging.
Either you or they should call an experienced low-voltage technician.
How would that work at phone block trying to find out what number you're looking for? Plus I have T-Mobile.
Cell barely works outside, let alone in a basement.
Okay, for a specific answer to the OP's question, we need more detail than "locating a specific phone line to remove it from a panel. It's a 12 pair line ..."
Does the OP mean physically remove a cable, or just one pair? To me, one pair is a line. Does he need to demo a cable in a room, or does the other end need to be pulled from a board?
My phone suggestion meant identifying a given pair, or line, using a butt-set or other POTS test phone. As for your reception, you can only work with what you have.
If it interferes with the kinds of jobs you do in the locations you do them, maybe switching to another carrier should be looked into.