We use pre-marked paper for such prints. Old fashioned but very high quality.
We have watermarks that come out fuzzy when being printed even though everything looks fine while I look at it in Acrobat. If I print each document to an image, it doesn't do this, but I need to be able to do it with lots of documents at one time like through batch processing and there doesn’t seem to be a way to do it. We have tested this on different printers, and different models and get the same results.