Bummer. This is what I would do if I were you...
1. Strip down the computer so it only has the motherboard in, with power feed through the normal power in socket as well as the floppy power connector on the motherboard. Power up and see if it boots.
2. Add the keyboard adaptor (assuming it's a keyboard adaptor since it is a tower). Power up and see if it boots.
3. Install the BPPC without ram, power up to see if it boots. If it is with SCSI try holding S during boot. The extra reset shouldn't be requiered, but try it in case it doesn't boot.
4. Install ram on BPPC and power up. If it boots without ram, but not with ram, try removing the ram, and hold down ESC during boot. Enter the ram menu and set ram speed to 70 ns. If it still doesn't boot, there is a chance the board is defective.
A hint; if you haven't installed a diskdrive, you will have to wait a long time for it to boot. This can be fixed by setting a jumper on pin 1 + 2 on the floppy controller
Do you know the specs of the BPPC? The 040 versions are the most power hungry boards.
As for the Voodoo cards (even though it belongs in a different thread), have you tried them in a PC? I have two here, and both work perfectly in my Mediator. The chances that both are defective is rather unlikely, so maybe it's a config fault.