(I am new to color management area about 1 year, but I read a lot here and I purchased the LL C2PS video and watched it several times. I re-calibrate my monitor about once a month. Generally it has very minor drift at that interval with NECs)
I re-calibrated the printer and realigned the print head last night, AFAICT, there was no discernible changes.
BTW, the Photoshop proofing is quite off for this image. It does not get darker or redder, but the print comes out quite a bit darker and redder. With this particular image I was printing on BC Lyve and Elegance Velvet. Same problem on both. (on another image, I had the problem on Canon RC Gloss)
At first, I was heavily removing the overall red tint to get the image look right, but I could not quite get it to look right.
So last night, I decided to lighten the image overall first by creating the adjustment layer with Levels and adjusting the Black slider under Output Levels from 0 to 25. That seems to get it closer to what it should do. (I still had to do minor saturation bump and slight reduction in red/magenta)
It could be that if the image prints much darker than normal, for whatever reason either the profile or the printer seems to compensate the red saturation more than other colors, making the overall image look super red.
Try to lighten up the image first (as part of the print output compensation, not the original image) and see if that solves the problem first. It seems to get me 90% way to what I need.
(Attached below is the image that I was having trouble printing)