we had a pet minilop called Tiara who lived in a hutch outdoors for a while until I saw these rabbit harnesses for sale. My parents thought it might be a bit "cruel" to have a rabbit on a leash. But, as we found out, she LOVED it. We ran a long cable going from her hutch along some trees, maybe about 20m long. We attached the harness to it, and she was sooo happy. When we were eating outside, we would see her go sprinting past, then stop, turn around, and start again. It was hilarious. Anyways, she would dig short burrows and sleep in them. Our cat never bothered her (even though he caught wild rabbits). One day when our cat brought home a live baby rabbit, we took it to see Tiara and she was just like a mum to it. Of course I know it wasn't a good idea to put wild rabbits and pet rabbits together, but it was a little baby and she loved it. She would put him inside one of her little burrows and they would sleep there :3 We eventually found out where his REAL burrow was, with the rest of the family, and put him back.
All this to say that it would be an awesome idea to try having your doe kindle in a natural burrow. You could also dig a shallow ditch, place PVC pipes and cover them with dirt to make a sort of artificial burrow. Block the end so it resembles one, put a little dirt inside and viola!