I feel your pain! Are you sure you have thoroughly checked the rotary cam switch? It is very tedious, but you can do it with an ohmmeter
with the scope powered off to verify the cam is acting on ALL contacts properly. I have seen and repaired many instances of Tek cam switches
and have seen things like 1) contacts fused shut, 2) dirty (hence open) contacts, 3) switches that have sections totally rotated out of position,
and other maladies.
And, of course, for horizontal sweeps, you should make sure all of the timing resistors are OK. I've had instances of open resistors, but
these tend just to make the sweep have the wrong timing, not kill it completely.
Good luck. I'm interested in reading about the final outcome.