Hex,
I hope that I am not convoluting the issue here, but I have run across this once with a DN subscription. I had a Dish Net Twin DPP LNBF on my subscription quite a few years ago. When the sun came over the horizon, the signal would steadily and quickly crap out on one of the two sats (either 110 or 119 cannot remember which one). Until that one sat went completely dead and it remained dead until late at night when the temperature dropped. Eventually, it came to the point where the signal remained dead at all times.
Do you think your situation could be temperature or humidity related?
Although you obviously do not have a DN subscription, an issue related to temperature or humidity is a very likely cause. Try checking all your cable ends for moisture entry or corrosion first.
Then try chilling your LNBF with dry ice when it has failed in the heat of the day.
These are just ideas, simple things to test.
Good luck in figuring this out, sometimes these scenarios are really illusive. What I present to you is simply an idea off the top of my head.
RADAR