Weight weenie threads always draw some skeptical replies. Lose your own blubber, who cares about climbing 0.01% faster, empty your bowels, first world problems, blah blah.
Okay, that said - what's the details on your bike: current weight, model, what are all the components, and why did you settle on the BB as the place to trim weight?
I did the same thinking on one of my bikes and the BB came up as a logical place to trim. However, most other components were already very light OR were "off limits" for aesthetic reasons. Are you in that situation? Because, normally, I'd look to tires and rims (tubular rims and light tubular tires), saddle (carbon fiber shell, Ti rails, minimal padding, available used for $100), seatpost, and don't overlook the chain (if you have a heavy one, there is good gram/$ potential). Do you object to a carbon fiber crankset?
Anyway a White Ind Ti BB is 162 grams and "only" $180. That includes cups.