A safer alternative to a collar which can be quite dangerous while running loose in the woods is a tattoo or a microchip.
Try a halter, she wouldn't be able to get out of it and it won't hurt her neck.
Well, from the sounds of it (correct me if I'm wrong OP) that this isn't a fenced area, just the woods and she COULD get to the street. She shouldn't be allowed to do this at all depending on the areas leash laws, or she should be supervised.Absolutely not! She's running free in the woods....collars can get caught and halters would be even worse.