What are the best options to shoot traditional black and white film?

My first suggestion is this re-branded Kodak tri-x film for about $2 a roll at Freestyle Photographic

If you don't have a darkroom then finding processing for traditional black and white can be near impossible. However, I recently (last 6 months) had good success using "color process" B&W film. Any color photo processor can give you good quality black and white prints from this film. I think Fuji and Kodak both make it.