If the rear cam plug is out you can put a dial indicator on the back of the cam to measure end play.
might be able to do the same off a cam love with an indicator that measures at an angle?
I think the cover gasket is around 0.010" thick? Maybe trim the cam button to where the cover just touches and add the gasket.
I use the rollerized cam timing set, so I don't worry if I'm on the tight side with the stock timing chain cover.
On the other hand, I just ordered the extra thick timing chain cover from 440 Source so I can compare it to the stock one.
They also sell the extra thick cover With a cam button reinforcement:
Timing Cover - EXTRA THICK - With Cam Button Reinforcement
Seems like a neat idea if not a bit overkill.
From the first photo, it looks like the cam button is not sitting down into the hole in the timing chain gear?
Usually have to clearance the cam button for the timing gear bolts.