By continuous I presume you mean tungten artificial light, as opposed to natural sunlight. Both of these sources can vary considerably from what is considered 'standard daylight'.
Don't fret too much about colour cast when shooting b&w. I do find from past experience that shooting by photo floods of 3400K that they are quite hot, and uncomfortable for the model to sit under and look natural for most modern MF rigs were you want to shoot other than wide open.
I have had good sucess shooting b&w portraits under bright household tungsten lighting with a yellow green filter.
If you really want to worry about colour temp of source, look to the cinegel line of filters from Lee or Rosco. They sell to movie industry who are really up on modifying colour temperature of sources for technical and artistic reasons.