"Max, are you only adjusting the shading rate or are you also tackling your texture problems with the number of samples and the filter?" Yeah, I was messing around some with the Pixel Samples as well. I usually found setting that parameter at around 4 or 5 was good enough to give some decent aliasing throughout the animation, while anything higher didn't seem to make much difference, and I never went lower than 3 (default production value) because of edge jitter. As for Post Filter Size and Type, I had experimented with box and gaussian only, but I don't know what the third one does (sinc). I'll admit that particular parameter in general has me a bit stumped. Increasing the box or gaussian filter size past 1 caused a better edge aliasing, but also seemed to blur texture detail too much.

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Tools :  3dsmax 2015, Daz Studio 4.6, PoserPro 2012, Blender v2.74

System: Pentium QuadCore i7, under Win 8, GeForce GTX 780 / 2GB GPU.