5000K or D50 is a little too warm for general viewing, especially if you are going to use the monitor for anything else on the internet. Most people will calibrate to whitepoint of 6500K.
Assuming you are using a printer profile, the standard profile by default is made for 5000K or D50, so that the print will look correct when viewed in a lightbox set for D50 although slightly warmer than the monitor view.
There are other issues with respect to an LCD monitor in calibrating, however, and that is that most monitors, except some of the high end Lacie use only 8 bit look up tables, and unlike a CRT which has analog controls, the look up table has to be adjusted when you do a calibration to a targeted whitepoint or gamma. Because of the small 8bit table, you sometimes get banding, especially in the darker colors. Accordingly, you might be better off calibrating to native whitepoint and native gamma and let the profile take care of the difference.
I doubt that you will discern the difference in the print to the monitor