Having not received and updates on my issue I decided to start over from scratch.
Formatted my SDcard and installed the latest version of NOOBS on it. Installed the full version of Raspbian then ran sudo apt-get upgrade. Seeing that there were not any kernel files wanting to install I completed the update. Ran the recommended install script from this forum posting but unfortunately my Pi3 was still not seeing my Archer T2UH dongle. Listing out the USB devices I was able to see the device connected to my powered USB adapter. Did some research and downloaded the specific driver that matched my Kernal version and ran that installer. This time the device showed up but I was back to being able to see the wifi names but none of them showed any signal strength. Any connection to any of the wifi's failed to connect. The onboard wifi is working properly.
While all this is taking place a new issue pop-up after installing the drivers in which the system would hang on service-reboot. Did some research and saw that it was recommended that I run sudo rpi-update. Ran this command and it updated to the latest version of the Kernel and resolved my reboot it. Also I noticed that the wifi started working and I was able to connect to my wireless network. I was jumping for joy for I had at this point sent about 3 or 4 hours working on this issue.
Since everything appeared to be working now I began to work on my project (my project is on a separate network thus the need for wifi) and I needed to connect to the Internet so I plug up my Ethernet cable and get what I need. Unplug the Ethernet cable and all of the networks are back to showing no signal strength. Rebooting did not help to bring them back.
I tried a few different things but nothing resolved my issue. Frustrated I started all over again installing from fresh again. This time right out of the gate I update the Kernel then run the wifi install script but evidentially the script was not built on the latest Kernel for it was unable to find a driver. Looking at the download site manually I did see that a driver was available for the latest version of the Kernel so I installed it and then rebooted. After the reboot the onboard wifi is working properly but the external dongle is stuck at scanning. Allowed it to run for about 10 minutes but it never found any wifi signals.
I do not understand why this device is so hard to setup. I am about to throw this thing out the window.