Betterman,
As Steve suggested, remove the A/C, Alternator, belt. If the noise goes away, it has to be the Alternator bearing, the A/C pulley bearing, or the idler pulley bearing. You can spin the bearings by hand and listen for a dry metal to metal whirrrring sound.
If you have a shop near you that rebuilds alternators, they can replace the bearings (front and rear) for about $40 to $50. The Nippondenso bearings are expensive.
The idler pulley bearing is the same as is in a Gen III tensioner. You just need the replacement bearing (about $30). If you ask SHOZ 123 real nice, and say please, he will give you the part number! thumbs_u
The A/C pulley bearing can also be replaced, I think for 89 thru 92. Check at an auto parts store, again about $30. If this is the problem get back to us and we'll walk you through the bearing change. I'ts not that hard, but there are a few tricks.
If the noise is comming from the other side, that is the water pump, idler pulley, power steering pump, the idler pulley is the same.
The other two take more time and money to cure!
rangerj