How long have you had her? If you've had her a short time, she might be reacting to a previous owner. Or is it possible she has a urinary tract infection?
If you can rule those out, here are a few thoughts.
Since she does well in a crate, I would use that ASAP, even for short trips.
Edited to add: I just noticed your avatar. This is the dog that someone left in the park with a note, right? Poor thing. In that case, I definitely think it's due to the previous owner. The owner probably made her very, very fearful. I would just take extra care when you come home. Give her treats and love so she'll eventually realize she doesn't need to be afraid of you.
If you can rule those out, here are a few thoughts.
I believe you when you say you don't hit her. But a dog that cowers and pees when she sees you is a scared dog. So now you just have to figure out why she's scared. How do you react when you see destruction? Dogs are pretty smart--they can pick up on your emotions.
I've heard people say this, but I believe what the dog really knows is that you're upset about something. She doesn't know why, because dogs don't have the same understanding as people. That's why trainers say not to respond to a dog's undesirable behavior if you don't catch her in the act. She will associate your response to her with what she is doing at that moment.
This could be because you act differently if she doesn't tear things up. She's reacting to you. If she's a timid dog, even a stern look might be enough to cause her behavior.
Since she does well in a crate, I would use that ASAP, even for short trips.
Edited to add: I just noticed your avatar. This is the dog that someone left in the park with a note, right? Poor thing. In that case, I definitely think it's due to the previous owner. The owner probably made her very, very fearful. I would just take extra care when you come home. Give her treats and love so she'll eventually realize she doesn't need to be afraid of you.