Please give us the part number for the failed transistor. I can not read it on the schematic. (Maybe post a larger schematic.)
I am thinking that a germanium replacement, or substitute, can still be sourced. There are boutique supply houses, for just this sort of thing. Tubes and such... If you want to maintain that vintage sound, you are going to want to steer clear of modern adaptations, as much as possible.
Noise can get into vintage audio gear in lots of ways... Certain wire pairs must be twisted... Wire routing paths must be done in a certain way - like running them close down on the chassis... Ground loops... Etc. Make sure the chassis earth ground connection is solid - no rust under the washer, etc. and that the earth ground wire is 100% all the way to the end of the wall plug. If it is an old/original cable, just replace it.
HTH.