Sounds very similar to when mine had the fuel screens in the tank clogged up.01 F250 stock 7.3 high mileage
No Check Engine Light On
Had rough idle - replaced ICP & Cam Position Sensor. Idles perfect. Sounds great. No smoke.
New glow plugs and new Under Valve Cover Gasket and wiring connections.
Intermittent brief cut out or skips at random speeds above 40mph sometimes worse that others. Happens more often in the mountains west of Denver. Was on the East coast for two months and hardly noticed it at all. Driving back to Colorado it started cutting out a lot when I got to Denver 5,000' and became severe going over the mountain at 9,000'.
We make a living using this truck. Any help/insight greatly appreciated!
Video of what it was doing
get a Schrader valve and adapter to screw into your fuel bowl, and get a fuel gauge (Maddox one from hobo freight worked well for me).
Watch that fuel pressure when it starts acting up.