I guess the whole problem could've been avoided by using a CGI replica.
What model did they use for Generations? That looked awesome IIRC, especially the warp sequence which looked more seamless than the one used in the show (e.g. the intro).
ILM refurbished and used the 6 foot model for the physical shots of the Enterprise D, the 4 footer was even used at one point. John Knoll built a CG model that I believe was only used for when the ship went to warp.