I don't think any car made after the 1960's came with full frames. No---it doesn't make sense to try and run a frame inside on top of the floor. You will have to build a full frame similar to what people do on 1930-s era hotrods. It would look absolutely horrible to have the car setting on top of the frame rails, as there are no body panels to extend down past the top of the framerails to hide them on that car. I would suggest building a frame from 4" deep x 2" wide x minimum of 1/8" wall rectangular tubing, and channel the car by the depth of the framerails.