Why does my 1995 mercury cougar run fine until it warms up then it shuts down?

Hey buddy I am having the same exact problem with my fathers car and am working on it a little more today, here is some info as to what I already did to try and fix this phantom problem maybe it can save you time. I have a 1995 cougar XR7 3.8L distributer ignition & non supercharged that intermittently wont start.The usual scenario is that it starts up when cold I take it to the store,shop for 30-45min try to start & it cranks but wont start.I verified there is no spark at the distributer when it wont start.After waiting like 30min to several hours,depending on the phantoms whim,it will start.Also the cars ignition died while driving for a split second & I observed the rpm guage drop then it went right back on again as the cars ignition/spark revived.I replaced the TFI (ignition) module,Mass Air sensor,ignition coil & entire distributer assembly including the cam position/hall effect sensor.After all that the cars ignition died while driving and did not come back to life, tried to start it multiple times over a 2hour span on side of road,no luck, had to tow back to my house,it started when I tried the next morning,I just let it idle & it died after 15-30min span.I am now trying to locate a used PCM (powertrain control module) I wrote down the numbers on it and will try ebay. I can update you when I try the PCM swap, Tom.