And we have...
COOL!! It was slower going than I thought it would be, but my office is now officially cool.
It's a nice little unit, and not nearly as expensive as I thought it would be. It's a small room so I didn't have to get a big energy hog. Plus the central AC in the house keeps it from being TOO hot--it's just too hot to work comfortably in. This should make my workdays much more pleasant in the summer. Unfortunately, the same rooms tend to get cold in the winter for the same airflow reasons. My HVAC guy told me there's no way to really improve the airflow, so I will just have to make do until/unless I decide to put in one of those ductless heat/ac units in those rooms.
I'm too tired and sweaty to tackle the other one tonight, so I will stop with this one for tonight and do the other one in a day or two.