M.G.
Say good bye to that crib!! Too bad isn't it? This situation probably doesn't have much to do with the type of bed you use but rather that she has decided to start testing herself and her world. This is kind of a big development really. Its an opportunity to lay down some good groundwork for the future in terms of her following your rules about how and how far she can adventure off into the world.
So think about what you want the rules to be. I would also consider getting a full twin bed if you can, new bedspread/linens along with a whole new set of rules!! Once you do that and make sure you've told her the rules in very two year old appropriate language you must enforce, enforce, enforce.
A lot of people use positive reinforcement here: a chart with a list of positive behaviors that get stars every morning and other treats.
Good luck.