I often have this same problem- Co.oper nurses call to tell me they can't read the fax or didn't get it etc etc. They usually ask me for my local clinic's # and actually get it sorted out themselves. There have been times, however, that they didn't tell me they couldn't read it until 6:00pm and by then my local place was closed. When that happened, they said they took a guess (!) on the numbers.
I will sometimes call my place and get the results too just in case Co.oper can't read it. I should really do it every time, but I hate having to make so many phone calls! (phone phobia here)
If your local clinic will send you the results, I think it's a good idea. I wish wish wish we could all just go to Co.oper for monitoring. The OOT thing really makes it so stressful!
Good luck this cycle!!