Thank you very much for the response. I will start with a new project this evening, re-import the .obj file and specify the resolution on import.
However, one problem that I have already had when exporting this file was that the large texture sizes were bogging down Carrara Studio after importing the file. So I had already reduced the file to 1024x1024 using Photoshop, and if I recall correctly the original texture size was 2048x2048. I would think that this size of a texture should definitely be large enough to allow for crisp, detailed texturing.
Also, when painting over the texture using Illustrator the details end up being very sharp, which to me indicates that the resolution for the texture map is definitely high enough. I am not sure of the number of polygons in the mesh but I smoothed it twice, collapsed the mesh and exported. I will try Administrator's methodology of matching the texture size to the number of polygons when I get home.
Something just doesn't make sense, though...