What gear does it whine in? As far as I know there isn't a single part of a manual trans that can't be taken apart. You basically split the two halves of the case and then all three shafts can be removed and the associated bearings and races pressed out and replaced.
I am flipping thru my FSM right now to see if I am missing something.
Edit: I don't see anything that can't be rebuilt or replaced. You said it was a non-serviceable bearing, most of the bearings in the FSM show they should be replaced, so I guess technically according to them they are all non-serviceable, but any good kit should include all those bearings.
My trans in my 1990 was whining and I ended up needing a new 5th gear. Is there any other shop close, there isn't any reason they shouldn't be able to replace or rebuild every single part in a manual trans, sounds like they are trying everything to not have to do it right.
Can you call them tomorrow and ask them to tell you specifically which bearing it is? Also do you have the R150F or W59? Because, my FSM is for a 98 4Runner so it might have something different in it. If they can tell you what bearing it is and specifically where it is located, Input shaft, output shaft, counter shaft, front housing, rear housing or intermediate plate, I bet I can find that bearing with a phone call or two.
I may be wrong, and if I am someone please correct me but this sounds off to me.
