For what it's worth, I just got the same monitor and calibrator combination as you, and I also print to a 3800 (in my case, usually to Ilford Galerie Smooth Gloss paper, with Ilford's canned profile for the 3800). I did my first calibration yesterday, compared the monitor with some test prints, and was pleasantly surprised that prints and monitor matched extremely closely. I was viewing the prints under a frosted skylight with blue-sky direct sun through it, and my target settings in SVII were 6500K (very similar to D65, I believe), gamma 2.2, and intensity 100. I started with those settings because those were the ones I used to use with my old CRT monitor, but they worked so well with the NEC that I'm continuing to use them.
In doing the monitor/print comparisons, I compared bright colors, overall brightness, shadow detail and neutrality of a B&W image, and the settings above worked very well for me.
I wonder whether one's choice of print paper (and the quality of the associated profile) makes a significant difference in the quality of the print/monitor match???