Umm, let's not get so confused as to believe that such a ship actually existed.
That is, there never was a kitbash in "BoBW" or any other episode that would have featured those components. There was a kitbash that featured a custom-cast saucer, an
Ambassador engineering hull and three
Galaxy nacelles, and was labeled the
Princeton (supposedly of
Niagara class). When Mike Okuda did a slide show of "BoBW" kitbashes in a convention, somebody misidentified the components and attributed the name
Rigel class to this, and the misconception gained a life of its own.
As for the
Rigel class
USS Tolstoy, this vessel was only invented after the models had all been built and labeled and probably also filmed. It was invented to replace a reference to the
Springfield class
USS Chekov, a kitbash that really was built (with a
Galaxy class saucer in half-scale, two marker-pen nacelles, and a flush secondary hull apparently made of the cockpit canopy of some Star Wars toy), because the writers or director had last-minute doubts about making a cutesy reference to a past Star Trek character that way. So no corresponding model was ever built for the
Tolstoy - that ship only exists as a verbal mention by Shelby during the "graveyard" scene.
One may assign any of the unnamed kitbashes or pieces of debris in the episode the name
Tolstoy if one wishes, of course...
Timo Saloniemi