I'd try other training methods first- because honestly, it's better for your dog to associate you with the discipline, they will be easier to train in general that way, and the electric collars are not exactly cheap. Why not just leave a small leash attached to a pinch collar on her whenever she's loose...that makes correction easy...the electric is only required for long distance training or for an extremely excitable situation/dog.
You'd be surprised, after a week or so of your dog *never* getting away with chewing, it'll really start to be conditioned not to chew. Another good idea, keep a basket full of toys in every room, or at least on every floor. That way, when you catch your dog chewing something they shouldn't, discipline and then take your dog directly to the toy basket to get something acceptable to chew. Another tip, take your dog out for a good walk before letting him loose *every single time*. Lastly, give your dog marrow bones to chew on a regular basis. Not only is it super healthy for them, it will allow them to get out a lot of that chewing frustration.