Hi Brad,
Trying to fix those boards with a scope is an exercise in futility.
Really.
You need tools like a good Logic Probe (I really prefer the classic
Heathkit as the best one), Fluke 9010 with the 8080 pod, and possibly a
Chip Comparator.
The scope is useful for seeing repetative things, noise, audio, and RF
signals, but I've not found it a heck of a lot of use in board repairs
other than working on clock circuits and vector drawing issues. Others
may differ, but then again I run a shop and have to be efficient (OK,
-I- have to be efficient) on board repairs because I have so little time
to spend on the bench these days.
I have no idea where you live, but perhaps you are close to a collector
of arcade test equipment who has a 9010 & 8080 pod and will let you play
with them...
I do recall that the RAM test, which you appear to be in, should show a
series of vertical lines, equally spaced - some fat, some thing, and
they should alternate when you operate the SLAM (Reset) switch.
So I'd start with tracing the SLAM switch to see if the CPU actually
gets a reset (reset low I think for the 8080(?)) or not. If not then fix
the reset circuit and try again.