I re-read this thread, and I do not understand why the connection fails when the Rogue is cabled directly to the computer. This makes me wonder if the Rogue is not providing a DHCP address to the computer, and, if the redistribution router is. It could also be the ethernet adapter is not enabled.
If you get a chance, I'd plug the computer into the Rogue directly and issue the IPCONFIG command from a DOS prompt. I would expect to see the "Ethernet Adapter" heading contain an IPV4 address, subnet mask, and Gateway address. If none are filled out, but wireless works for this computer, perhaps the ethernet adapter on your computer is not enabled. Click on the "open network and sharing" tab on the wireless meter, then left click on "change adapter settings" and check to ensure the LAN port is enabled and not X'd out.
I'd give you some screen shots but I am on W7.
If it is, well, enable it and wait a bit to see if things start behaving when you have the computer connected directly to the Rogue.
By working with the Rogue connected to the computer directly perhaps we can determine if the outages are induced by the second router or some other aspect of the local area network.