My bunny is insane too. She runs into walls and binkies into things all the time. She also has failed a couple times at hopping onto the bed or couch and falls onto the floor. Of course, she manages to land on all fours every time. Each time I hear a loud sound, I come running but she’s already back to hopping all over the place. I’ve read that bunnies are fragile but I’ve come to the conclusion that they are actually pretty strong. If I ran into walls as much as my bun, I would be sitting on the couch with ice, not hopping about the room happily.
As NewBunnyOwner123 said, don’t keep your bunny penned too long. The more time out, the happier your bunny will be. My husband and I let Willow out of her cage when we wake up and put her in when we go to bed. We let her have the house all day even when we’re not here. Of course, we trained her in steps. We gave her more and more of the house over time and she is successfully trained now. She doesn’t eat the rug or any of the furniture. This is her day, every day, whether we’re home or not. 8am: She runs around in the morning up and down the hall, binkies in the living room, and then gets so tired out that by 11am, she’s sleeping in one of her favorite spots for the day. 3pm, she gets up, runs to her cage to use the bathroom and eat some hay, and then she sleeps again until 6pm. Then she gets up, begs by the fridge for dinner, gets fed, and then binkies again in the living room. Once we settle to watch TV, she settles on the rug and watches too. Dawson’s Creek is her favorite but any teen soap will do. She also has been known to relax to Die Hard. Bunnies are weird.
At 10 or 11 pm, we get her back in her cage and she hangs out in there for the night.
Basically, if your bunny gets to play all day, you’ll find that once the initial fascination of the house dies down, your rabbit will settle into a fairly predictable routine and not actually cause damage to a bunny-proofed house.
Plus, your rabbit will learn the house over time. Our bunny used to slam into the wall where the hallway turned because she wasn’t ready for it. Now she skids early on purpose to make the turn perfectly. Plus, I can only assume that a bunny that gets to hop around a lot gets very strong muscles and holds up better against any potential accidents. 