The lack of boot, behavior of the buttons and the pulsing ROG light indicate a short that's keeping the PSU from powering the board properly. (I think the pulsing ROG light is normal when the board sees nothing but standby power from the PSU.) The hot caps are an indication of where the power went bad. That this happened at the time of a case transfer suggests an accidental short circuit, a screw head or standoff out of place or the like. As it's a Formula, it had the armor plate on the back, which limits the possibilities a lot.
When you removed the armor and ran the board to identify the hot caps, was the board run outside the case? If not, try that to see if any short goes away.
If the board was run outside the case and still failed, something suffered consequential damage and the board needs to be RMAd for repair. Sorry that won't help by the 5th.
Jeff