My aloe plant has been outside in the ground for 10 years now. I live in Southern California but at an elevation >1000 feet, there are a couple <20 nights/year. My plants just grow back from the center. The root structure is not compromised.
I think if you fear another frosty night, the rule is to spray them with water and the ice formed around the plant insulates them. Don't give up the ghost. These succulents endure freezing nights in their natural desert state and they flourish the rest of the year.