Quote LS4:
"IMHO he's not much of a mechanic if it takes him 3 times to find a noise."
Quote Joe:
"The bearings are in the alternator, not the pulley. The pulley on the alternator can be changed without changing (or even removing) the alternator. However, your problem is not going to be the pulley. ... I am going to assume that you have a parts changer, rather than a mechanic that can do real diagnostics. "
+1 on both comments. As LS4 suggested,,, CAREFULLY use a screwdriver at the bearing points on the alternator... and keep it away from any rotating parts. Joe has a good suggestion with the tensioner. The only way to tell for sure is to probe around. Bad bearings will give a scraping/whining sound when bad.. when probed with a stethesope or screwdriver, (AGAIN... watching out for rotating parts). Alternators can be rebuilt,,, and parts are cheap... IF you know what you are doing. If you don't know what you are doing,,, but have a local starter/alternator rebuilding shop in your area... they could rebuild your alternator with new bearings and brushes for about $100 or a little more. IF you KNOW what you are doing... then you could rebuild the alternator yourself for about $35... as long as it's still charging properly. If not charging properly,,, add about $100 for a rectifier assembly,,, or pay maybe $250 for a rebuilt alternator... with you installing it yourself.
Again... Joe has a good idea to check tensioner and idler bearin pully bearings,,, but it may still be the alternator. If you want a quick fix to see if it's the belt. Buy some belt dressing lube,,, and see if the noise stays gone.