Help me save my aloe
about a week ago I replanted my aloe vera plant. Being novice I watered it after replanting. That not being enough the temperatures suddenly dropped to a little above freezing and my plant started to turn brown. I moved it inside but I guess the damage was too great. Today when I came back from work I saw the plant was like broken in half. The bottom part of the stem is brown and feels soft - although it can still stay upright. The top leaves also seem relatvely fine - excluding the fact thet they face the floor now. Around the place the plant is bent inhalf the leaves are nasty - brown, soft and smelly and there are streaks of something like sap on few of them.
I really want to save it. After reading about caring for aloe from this site - I should have found it few weeks earlier - I am considering breaking the top part which seems healthy, letting it dry and hoping if I plant it it will grow again. Is that reasonable or I should do something else instead.
Thanks in advance