I Need Help With My Dog And A Very Tough Decision…?

My dog sydney, a coonhound (maybe greyhound or doberman mix) Keeps running away… I know that hounds run away a lot, but I live right in town. She runs away when I leave town. Thats the only thing that worries me is that she will get hit by a car. She is very well known by the police too! But she has 3 legs and she was found running on top of a ski pass with her leg amputated. She is such a wonderful dog… I have training classes lined up for Thursday. Do you think she can learn recall? She will linger outside the house, but wont come in! I dont know what to do, and my mom loves her, but doesnt know if we are the right home for her… She is perfectly fine except for running away… she recently chewed threw her leash while I was in Salt Lake City, UT and she is stuck at the shelter while we debate… Plz Help me!!!!!!!!!