I consulted ASUS forum in parallel and owners of ASUS Crosshair Formula IV Extreme/Formula V (both use onboard Intel NICs) do also experience BSOD's under heavy network load.
It turned out that ASUS released newer driver that the one available on Intel's website in 16.3 package (with e1q62x64.sys file having version 126.96.36.1993 rather than 188.8.131.52) but it is only available in Crosshair IV Extreme download section. Thus I have not noticed it.
I installed this "unnoficial" driver and my problem is gone !
ASUS forum also knows unofficial (leaked ?) 16.4 Intel driver package (which also fixed BSODs under heavy network load, with e1q62x64.sys file having version 11.11.something) but I have not given it a try as "official" ASUS driver fixed my problem.
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Hello and welcome to the community!
We're closing in on the release of Intel® Network Connections Software Version 16.4, which includes an updated driver that we believe will resolve this issue. We expect that this new software release will be posted for download within the month of July.
The link below is where you'll be able to get the software update when it is released; please give it a try and let us know whether or not your issue is resolved.
Thanks for your patience!
Members of ASUS forums who gave unofficial/leaked 16.4 drivers a try, report that it fixed their BSOD issues. So I assume it would work for me as well but I'll wait until 16.4 become Intel official release.
In the meantime Intel unofficial/Asus official post16.3/pre16.4 drivers fixed this BSOD issue for me as well so I'll stick with them as a workaround and wait for official 16.4 release from Intel.