I have a question about the comparison between Lightroom and Easy-Photoprint (which I have never used). In lightroom I can use the Ilford ICC profile that matches my paper. In Easy-Photoprint I don't seem to have this option, I can only tell it that I am using matte photopaper... Am I missing something? If this is correct, then the comparison with LR does not work since the issue could be with LR or with the ICC...
I think you have been bombarded with so many answers that you might be trying to fix everything at once too If the prints are indeed the same as the problems I am facing I would suggest you start to elimanate factors in order to get to the root problem. Forget about screen calibrations and custom ICC profiles and ILFORD profiles and start with basic settings.
Photoshop and Lightroom does not use the same print engines, so you can use Photoshop as your 2nd application for testing instead of the Canon Easy Photo Print. But what I suggest is you make a print in LR and in Photoshop where you use the same printer settings and paper type. This will tell you quick enough if LR is the problem or not. Once you have that answer you can go to step 2 and start calibrating your software of choice. Changing too many things at once is going to create new problems once it suddenly works... you won't know which of the 100 solutions or combinations of them actually did the trick