You can do a combination shot but it's probably more work than needed. Here is what I'd recommend:
1) make sure your lights are very diffuse. The tungsten light is out unless you can use one of your umbrellas with it. Also, better to have two lights, one coming from ~10 and one coming from ~2, than a single light. Essentially gives more diffusion and more natural directionality
2) turn the contrast down within the camera. Also, use the Neutral or Faithful style, not Standard, which is too contrasty. Contrast set to -4.
3) Go into Live View and place the white zoom box over the brightest (most reflective) area. This ensures proper metering
4) Use Aperture Priority Mode. Set the aperture to f8.
5) Adjust exposure compensation to -2/3 EV. This will help to minimize over-exposure
6) This should give you a good "raw material" shot to work with in post processing.
Post the raw material shot here for comment. It might not look that great without adjustments, but if it doesn't start out good it will never be great.