In black and white photography, film still has some advantages over digital (or so, at least, many black and white photographers think -- it's a very complicated subject with many, many objective and subjective variables to consider).
However, if you're planning to have the photos developed and then scanning them, you're removing most of those variables from consideration, since you're turning your film photo into a digital image (which in some ways -- but not all -- is actually worse than starting with a digital photo in the first place).
The fact that you're asking the question suggests that you should just go to digital (provided you have a decent digital camera).
If you're planning to use Lightroom, don't forget to shoot in RAW mode.