On a sunny day (Tue, 26 Jan 2016 08:54:45 -0000 (UTC)) it happened Cursitor Doom wrote in :
Probably potted, but an old TV horizontal output transformer UI core can be taken apart quite easy, and new coils put on it.
Or use one of those EI cores with 2 compartments like I did for the ultrasound project.
Is pin 1 (supply) from the IC clean? C1818 and zener V1813? There are some more small electrolytics on that primary circuit powered from the transformer.
Not sure winding a transformer is worth it unless you are attached to that scope. There are a lot of outputs, +5 -5, +12 -12 +60 -60, Maybe try disconnecting those to test for shorts or overload there?