I would still find it interesting to see a response from Autodesk, what you are describing is a completely legitimate use of Autocad, you don't appear to be doing anything that hasn't been covered by the EULA, indeed there are some arguments about what LT stands for, one being 'LapTop' and that it was designed specifically for this use scenario so people could use the program on site and whilst on the move (yes I know you use the full version, the argument is about the fair use of the old version). If Autodesk are now 'incapable' (due to server issues) of supporting your version then they should at the very least release a patch for all older versions disabling the "phone home" features of the program, if it is this that is causing the problem, verification is not a renewed activation.
And +1 on rkmcswain's suggestion for BricsCAD in some some ways it isn't even close to AutoCAD it surpasses it, and just for viewing and editing dwg files the free 'BricsCAD Shape' is great (and it also does 3D).