Thanks for the input Carrie. If ESRI does not have this capability then it really does need to be on their list of enhancements for their software development. But I am hoping I don't have to wait that long to get the services I am looking for. This feature has been standard for more than half a decade in similar surface building software application. And I am hoping there is someone out there who knows how "minimize flat triangles" in GIS.
ANYBODY?!?
As for your suggestion, making an interpolation (Raster to TIN) of an interpolation (contour to Raster) of an interpolation (Real Points to contours) sounds like a good way to drastically reduce the quality of my data and probably wouldn't be a better than my "flat triangles" in the long run. But thanks for the suggestion.