The short to ground on the negative pad of the rectifier is to be expected, the +5V rail is referenced to ground (chassis). It's just the positive pad short that you need to worry about. You say it was cooking the rectifier, it would have been helpful to know if the +5V regulator transistor (Q1456) was cooking too.
Shorted reservoir caps (C1452 in this case) aren't impossible. I recently had a reservoir capacitor fail short on the +50V rail, however the voltage rating on that one was rather close to the actual rail voltage. C1452 is a 25V part though, so about three times what it normally sees in circuit. A dead short at the rectifier positive pad does implicate C1452 (or a solder splash) though.
The 5V regulator has current limiting built in with R1458 being the current sense resistor. This is 0.6R so, as bdunham7 says this can help trace the fault. Check the resistance to chassis on both sides of R1458, if the dead short is on the Q1456 side then it may be a PCB short (solder splash from removing the rectifier?). If on the 'scope' side (the +5V TP) then it is somewhere on the regulated +5V rail.
You say you have checked all of the Tants but C1456 would be a prime candidate. A shorted CR1458 is unlikely but possible too. If not those then it is a matter of methodically tracing the +5V rail across the schematic pages and boards.
Fear not, it is almost certainly fixable. The Troubleshooting section - and particularly the Corrective maintenance part of the service manual are particularly helpful. Most parts can be replaced without removing the PCBs. Large reservoir cap replacement does require removal of the trigger board, but that isn't nearly as difficult as it initially looks.
P.S. I don't think the 475A has a +5V unreg rail(?).