If I were renting I would set up a portable horse shelter and put hardware cloth 1/2 inch across the front. Disassemble and take with you when you move!
http://images.search.yahoo.com/search/images;_ylt=A0SO803EV01T3DsAQA1XNyoA?p=portable+horse+shelters&fr=chr-greentree_gc&fr2=piv-web
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