Annoying that it worked fine for 5 minutes and
then started blowing things up - oh the joys of vintange hardware. The number of times I've done some quick tests, smiled to myself and thought "jobs done" only to have it crap out on me a few hours or days later....
Astro City monitor boards are normally a Nanyo MS8, but i've seen a lot of folks also have MS9's in there. The MS9 is a better electral design from a safety perspective. If it's easy to find the chassis model number that info might be helpful too.
This is an extreamly weird one because the monitor is not directly powered by the PSU - the PSU takes approximately 100v AC and converts it into +12v, +5v -5v DC. It mainly just passes the 100v AC voltage for the monitor through.
You can find the schematic for the 5261 here, but as noted above I dont think your problem is in the DC section
https://segamadebaddecisions.wordpress.com/category/astro-city/
For this reason I'd start by probing the output voltages on the PSU and see if it is actualy producing +12, +5 and -5 DC as expected, and also that the input voltage (approx 100v AC) matches the output voltage from the PSU for the monitor (100v AC).
Probing what could be mains voltages is reasonably safe, but its still not a day at the beach, the pinout for the 5261 is here
https://wiki.arcadeotaku.com/w/File:400-5261-pinout.JPG
It's the pins labled OTL (100v AC out Live) and OTN (100v AC out Neutral) that are of particular interest.
Also worth checking your grounds at this point - in my part of the world we are 240v mains power, all of the cabs here were fitted with some flavor of transformer when they were imported. Sometimes these are step-down transformers that pass mains earth, sometimes they are proper isolating transformers. Floating earth can cause all sorts of strangeness if the earthing is coming from the metal chassis of the cab
From there I'd look at the fuses in the power supply, there will be a big 4(?) amp one in the AC section, and a smaller 2(?) amp one in the DC section on the 5v line.
Then I'd start checking the buttons on the front - if this PSU is destroying monitors then a stuck degaus/demag button will do that too