A tech came back out on Saturday morning and did a bunch of work, and I have not had issues for the last two nights
First, I had low signal strength (20's) due to tall trees (even without the leaves), so he installed a new 1000.4 and LNB in a different location where it is now in the low 50's. Of course this necessitated all new lines from the LNB which is now connected to a new black-dot Duo node. Inside, he replaced all of the compression fittings and a tap in the basement (and tidied it up to boot). He also replaced a low-frequency barrel connector in the wall plate behind my living room Hopper (my office Hopper was good) and replaced those fittings too.
One thing he noted was one of the lines connected to the original Duo node had moisture inside and was starting to corrode. This may have been why just replacing the LNB the first time did not work.
Again, two nights without issue is promising, but with the caveat that we've been on a warming trend. The boost in signal strength come springtime will be much appreciated.