The burned out resistors wouldn't have had anything to do with the blown
flyback or the shorted components I replaced on the video board?
Shouldn't do. The VT100 power supply has overcurrent protection and will
shut down without damage if the load (video board, etc) is shorted.
Does this supply work at all? Are you getting any output voltages from it?
Have you checked the resistors (out of circuit -- that is with one end
desoldered from the PCB) to see if they are burnt out (open circuit), or
wildly different resistance from the value specified by their colour
bands/markings?
-tony