Have you seen the Dg41rq motherboard BIOS, since it was taken off the Intel driver site?
This link leads to Intel's desktop board DG41RQ product page.
It's a 12-year-old motherboard, and it's no longer supported. They probably stopped offering BIOS updates because it's outdated.
Only changes from the past three to five years are considered. After that, it's likely no updates needed because the CPU is no longer made.
The provided URL is currently active and ready for download.