I lay mine out and use my fliet knife to cut it off.I use my fish board with the clamp on it to hold the strip and do it like a fish.
I have never had a problem since I started doinig it this way.I remove it all befor I vacume it.

I stopped by the meat prosesing store one time to get some fat and they were cutting into steaks and then trying to cut the silver skin off.I showed the lady the way I did it and she called the meat cutter and I showed him.they were in awe at how easy it was.

they gave me all the fat I needed after that.