The two grader operators do a terrific job keeping all of the gravel roads in our RM in good shape. They do the road in 3 sweeps - once down one side to get the gravel to the centre, then the other side on the return sweep, winding up with a pile of gravel in the centre of the road. The final sweep is down the centre of the road, so the road is close to level in the centre, but lower on the edges.
While I don't particularly like driving on the road just after it's been done, because it's like driving on marbles, with a bit of traffic, which is sparse around here, two smooth tracks develop, and it becomes almost like driving on pavement, but there are a couple of places where I normally drive where there's always been the "washboard" road you describe.
I'm not sure why it's only, and pretty much always, in the same spots. I don't think it has all that much to do with the weight. Not only is the blade itself very heavy, but it's solidly attached to a very heavy grader, not floating, like my snow blade. Other than the final sweep, which is only for spreading the gravel, instead of scraping the road, the blade is always angled.
I realize that I'm not providing you with a solution here, more like an explanation. Maybe the road bed itself is different in those spots, and yours may have a similar problem.