Looks like your land ownership is somewhat transparent and draped over the hillshade. Unfortunately ESRI does not support "gradual transparency". (i just made that term up) Even if you set the "White" color to of the White-Black color ramp to "No color" it will default to white and only those areas that evaluate to white in the hillshade raster will be solid white. THe rest of the colors in the ramp will be various shades of gray. Not varying levels of transparent black which is what it should be. (A true "No Color -> Black" color ramp of the hillshade overlaid over top or the other land features would make the colors appear true and rich yet it would still correctly show the 3D effect)
Here is a few ideas:
You could try applying transparency to the hillshade and place it over top of the features instead although this will likely not be satisfactory as well.
You could separate the hillshade into several parts by the ownership type.
You could clip just the "white land ownership" areas out of the hillshade raster and adjust standard deviation of the white hillshade so as to reduce the amout of gray. The shadows will appear more harsh but it might look ok.
You could export the map to Photoshop or any other image editor and select the "White ownership area" and make them brighter or adjust the curves, shadows, etc.