What you're describing, one display compared to other displays, with a white point discrepancy even after calibration, sounds to me like a kind of metamerism failure. The calibration matrix of a colorimeter is tied to the spectral power distribution of the display, and this SPD is different display to display. If the instrument calibration matrix isn't well suited for a particular display's spectra, in effect the instrument reports incorrect XYZ values, and you get a color cast.
I suggest you enter a custom white point in xy value for the troubled display, rather than choosing a color temperature value that matches the other displays. You may have to iterate this quite a bit to get a visual match to other displays. Basically you're asking the calibration software to calibrate to a bogus xy value (an error), to compensate for another error. It's imperfect because it will only "fix" white, but should remove the color cast. You still will have some slight discrepancy with colors, most likely.
Another possibility is to borrow a spectroradiometer, calibrate with it to the same color temperature as for the other displays. Then measure the xy value of the calibrated white with your colorimeter and note the xy value. Subsequent calibrations with your instrument, you'd use those xy values.