to undercoat or not to undercoat???

im going to be getting my 74 valiant completely stripped and painted including the underside of the floor pans, frame, rails ect.. i live in michigan and beleive in undercoating, and how it saves cars from rusting away. since this car isnt being driven in snow or anything close to it do you think ill still need it? i like the idea of getting it put on, but it seems a shame to get all the fresh paint and spray undercoating all over it. opinions??


thanks jason