As I stated in my post
above, I couldn't get my BE array with MCM-type hubs to work with my gaming/HTPC rigs which have decent specs but works just fine with my lowly old Gateway netbook. The rigs have W7 64-bit and the netbook runs on the 32-bit version. Perhaps, this made the difference. I dunno. Anyway, the following is my "ritual" to get it running on my netbook:
1. Without power, plug all the BEs into the hubs but do not connect the 1st level host hub to the host computer yet.
2. Power the hubs all at once and let all the BEs initialize (the LEDs blink around four or five times and then become solid).
3. Connect the 1st level host hub to the host computer's USB 2.0 port and let the OS install the driver. In my case, I get the familiar task bar animation and the message ballon that says "Installing drivers for your device" (or something like that) and beeps as it installs the driver for each hub and each BE. When done, another message ballon appears that indicates the driver was successfully installed and that the devices are ready. This can then be verified via "Devices and Printers" on the Windows Start menu. If everything installed without a hitch, you should see the total number of Silicon Labs devices matching the total number of BEs. Otherwise, the final message ballon off the task bar would say "Driver installation was unsuccessful" (or something like that).
4. Start your mining software.
5. Good luck!
Edit: BTW, I cut off the +5V VBUS wire (red) in the USB cable that connects the 1st level host hub to the host computer to protect its USB controller circuitry. Better safe than sorry.