So I spoke with MOTU and the following applies to this sudden noise with the Analog ASIO drivers in Sonar.
1. The MOTU unit with this set of drivers never did this with the old computer in Reaper
2. The sound is not reproducible by using these ASIO drivers and inputs in stand alone Guitar Pro 5.2
So that tells me it is not the computer, nor the USB's (using the correct 2.0 USB), nor Windows 8.1, nor 828 Mk III, nor the ASIO drivers, nor Guitar Rig Pro 5.2. They have all functioned fine independently. The sound only crops up when I use all these things through Sonar X3c.
And given that I can stop the sound simply by opening the preferences and hitting the "apply" button...
....this tells me that Sonar X3c has an incompatibility issue with ASIO drivers, by initiating a periodic routine which corrupts them in the configuration setup, which is easily re-initiated by simply running preferences.
Not Solved, but I will highlight this problem to Cakewalk.
TS