I've done all the printer diagnostics and it seems to be printing spot on.
One problem with nozzle check print pattern is that it's very difficult to see any discontinuities in the very fine lines - is that what the Canon check is like? It's worth making your own image with a set of solid blocks of colour to test the ink flow.
Have you tried making a Q print and then a LR print immediately after? That may help to see whether it's a printer issue or program settings issue. I deliberately say "settings" because there is no related "bug" in the Qimage program.
BTW, I'm using the HP w2558hc monitor, but I have no way to calibrate it.
That needs to be addressed for full colour managed editing & printing
It worries me somewhat, so what have you set as the monitor profile in Qimage and is it the same as in LR?
The monitor profile does not affect the print but when saying prints too red, what are you comparing, print to print, print to screen?
What printer profile(s) are you using, a custom one or a Canon supplied one?
Please do the re-set in Qimage & report back. Also it would be helpful to see exactly what your settings are in Qimage. Can you do a screen shot of the Qimage screen, bottom right section with all the CM data, plus one of the Canon driver settings, opened from within Qimage.