Maybe you could use a canvas where X-offset, Y-offset and shape represent the three parameters, while color, width and height of filled shapes represent metric values.

Since the first parameter seems to extend over a large range while the other two have relatively few distinct values, that first one should be the X axis, one of the others should take up ranges along the Y-axis, within which different shapes can be drawn for each value of the last parameter; the first metric looks like a good fit to use color.

It might take some practice to figure out how to interpret the image, but there's a reasonable chance that if patterns are present in the data, they'll be visible (when you focus on the right cues).

(Update: that said, I think the data-reduction suggestions in the replies above are probably going to lead to an easier/quicker assessment overall.)