Thank you all so much for your input! It is a rather large investment, @Sally PB , which is why I'm so grateful for everyone sharing their experiences.
I am in NYC, and have been covering my 13' x 10' run with tarps and plastic sheeting for the past few winters, but none hold up. The run is completely covered with hardware cloth, and with the wind making it flap, I get holes. I also have a hard time keeping it on the run anytime it gets windy...