It looked like this. The metal frame is from a green house. The chicken wire supports the tarp and any snow load over the space between the bars. You need some kind of slope to the roof so it can shed rain. I pull off the snow with a push broom if we get more than about 1 inch.
I've added on...
Can you put a tarp over the hardware cloth on the roof? I have that arrangement on half of my run, and it works very well. I'm in Michigan, so we can get 6" of heavy, wet, snow, or half an inch of freezing rain. I pull the snow (and fallen leaves) off with a push broom.
I used the black/silver...