It is not loading the recovery disk because the ios60-v6174 is not patched with the trucha bug. Try to autoboot any game from the recovery menu- see if the wiimotes will sync and work. If the bluetooth module is bad, the game will not boot and your wiimotes will not power on the wii (needs to be synced). So it may be a bad bluetooth, hard to say since you don't know the story behind the black screen. Try to swap the module with another wii if games won't load, you should be able to boot most games. Perhaps try wii bootme found on wiibrew to set the iso to autoboot if you have trouble.
Also read the sticky above about recovery menu brick fixing. There are many methods in there.