Okay, we were able to solve our last issue and now we have a new one!
Every single day, never fails, we must let the print head sit over a Windex-soaked paper towel for 15 or so minutes before ANYTHING will print. The print head seems to be clogged just on the surface. Once I soak the print heads for those 15 minutes, all is well.
Did I manage to turn something off that wipes the heads every so often to keep them open, or caps the heads so they can't dry out?