Your post doesn't make sense. Provia is a color transparency film. Is this what you have in mind as your original? But then you want to make
a black and white negative from this? Correct? So you want to make a black and white internegative, not a duplicate, from a chrome. You can do this either by contact or projection (to enlarge the original). Several panchromatic sheet films will work, FP4+ being a convenient one.
And you can apply contrast filters to the exposure just like when using contrast filters with black and white film outdoors, except that your
light source will now likely be tungsten-balanced. Regardless, you need to do some testing to come up with the correct exposure and development time. Pretty easy once you get the hang of it.