Before I had a scanner large enough for 8x10" negs and transparencies, I used to use my Coolpix 990 to digitize formats I couldn't scan for the web and even to make postcards for four-color offset printing. The contrast was usually lower than a scanner, but with some adjustment the results were surprisingly good. A DSLR with a good macro lens and good copy technique, proper alignment, and such, should produce good results. Museum copy work is more often done with cameras and high-end digital backs than with scanners, if only because the originals are too large to scan.
I still use my Coolpix 990 on a copy stand for digitizing documents. The resolution is enough for OCR even with high JPEG compression, and it's way faster than using a scanner, particularly if I have a few hundred pages to PDF. I was thinking of switching to a DSLR, but they seem generally to have minimum file sizes that are too large for this purpose.