This FAQ was of some help.
"DISABLE MOUSE ACCELERATION
Try disabling the Enhance pointer precision option. To do this, please follow these steps:
Windows 10:
Press WinKey+R, and in the Run window type:
control
After that press Ok, and navigate to Mouse -> Pointer Options, then make sure that Enhance pointer precision is unchecked, and click OK.
Windows 8.1, 7:
Start -> Control Panel -> Mouse -> Pointer Options, then make sure that Enhance pointer precision is unchecked, and click OK."
This alleviated the problem--at least now smaller movements control the camera reasonably well--but it still spins wildly if you go too fast.