The video board has some very charred-looking spots
around the
solder pads of one component (cap? spherical white ceramic-like
device with two stout leads)
That's the diode in the flyback. Just about every VT1xx terminal
has that blackened PCB. (And has probably gone through several
flyback transformers...)
If you've got any other VT1xx terminal, swapping out the flyback/video
stuff that's in common will verify that you're lacking HV for the CRT.
Tim.