Cocoa is a young dog, you don't know her that well yet, and she's still recovering. I would without a second thought, keep her crated whenever she is alone. It will be beneficial for her to have a place of her own and the best way to ensure her safety. As she gets more comfortable in your home & is feeling better, her personality is going to emerge, you don't know what her issues may be and her behavior may change. Crating is an essential training tool, especially with an unknown dog. I would always make it a positive place, luring her in with a coveted resource. Be sure her collar is always off in the crate. Don't make a fuss when you return home, just let her out (& not necessarily immediately), then celebrate after she's out. Be sure the crate is far away from anything she can pull in. A stuffed Kong always a good choice (coat the inside with pumpkin, cream cheese, etc–not a fan of peanut butter anyway, but can be a choking hazard–a few treats & freeze) or a nylabone is fine, but nothing she can potentially choke on (anything meant to be chewed). You really either have to crate or not, otherwise she doesn't know what to expect. You can put her in and leave for a few minutes & return, varying the time, as well as on your short trips. Give her treats or a chew in the crate while you are home, then let her out when she's done & quiet. Sometimes, just throw something she likes in the crate with the door open. Make it a good experience for her. Is there a possibility of a dog walker during the day?

Cocoa probably does not yet have the skill set make the correct choices when left with the unlimited options your whole house offers. As you get to know each other, you can make adjustments that work for bith of you.

Cynthia