A guy I used to work with was of the opinion that the best way to fix shorts was to jumper over the fuse and deal with whatever smoked.

(Don't do this, of course.) After a few burned circuit traces and transformers, he was invited to go work elsewhere...
I realize this is a bit silly to ask, but have you verified that all the jumpers are where they should be? I ask because I have spent hours working on equipment only to find that the person before me did something that deserves a face-palm.
With the T1 taps open at 7 and 10, there really isn't much there that should blow the fuse. CR26-CR29, C16A, C13, C14, Q6, Q7, C20 are the things that immediately jump onto the must-check list.
With the supply off and the caps discharged, what is the DC resistance between TP24 and the negative rail? How about at TP23? Same thing at +R with the jumper to +S on and off.
You can sometimes unsolder one lead of a filter cap well enough to center it in the via to take readings. That gets around having to unsolder the tabs.