I have a Flemish Giant Rabbit that I rescued. It was kept in horrible conditions and had such a bad ear infection that it's ear wouldn't stand up.
We vetted her and she only weighed 7 pounds - she was so bony. Now she is healthy and up to full weight and her ears are perfect. I do keep her outside.
We have a fenced in area probably 12x12 (if not bigger) with a large octagon dog kennel for when we need to lock her up - she has a dog box to sleep in and has tunneled under it for a den.