I agree with the shade idea. Providing shade for the coop will help it not heat up so much. I have used an old exterior roll up type shade made for windows or porches. I use this over the run. Since it is made of slats breeze passes through, but sunlight really doesn't.
I would also highly recommend planting a deciduous tree nearby to shade the house and run during the summer. When the leaves fall in the autumn it will allow sunlight in for winter warmth.
If you can't plant a tree - I can't - then use vines! I have a net trellis tacked up to the house and the side of the run to grow vines on. Morning glory, trumpet vine, honeysuckle, or even pole beans like green beans, limas, or the Scarlet Runner beans I am growing all work great. Most get plenty tall to provide good shade and you get the bonus of flowers or even veggies. For a more long term solution you could even plant GRAPES!
I would also highly recommend planting a deciduous tree nearby to shade the house and run during the summer. When the leaves fall in the autumn it will allow sunlight in for winter warmth.
If you can't plant a tree - I can't - then use vines! I have a net trellis tacked up to the house and the side of the run to grow vines on. Morning glory, trumpet vine, honeysuckle, or even pole beans like green beans, limas, or the Scarlet Runner beans I am growing all work great. Most get plenty tall to provide good shade and you get the bonus of flowers or even veggies. For a more long term solution you could even plant GRAPES!