Fast lenses and IR make a difficult combination, in particular if the lens in question is a zoom design. You already have found out that.
The 17-55/2.8 AFS Nikkor is pretty good in IR if I recall correctly, but of course is big, heavy, and quite expensive if I recall correctly. I can verify its IR performance with my modified D5300 if you are interested.
Do note that for IR shooting, having filter(s) on the lens can sometimes trigger hot spots. Much safer to have a modified camera with internal filtration.