I added the following text to the "Notes on this release" section for the 3.6.0rc1 release page and will copy it to future 3.6.x release pages until sometime after a fixed 1.1.0 is released:

"If you are building Python from source, beware that the OpenSSL 1.1.0c release, the most recent as of this update, is known to cause Python 3.6 test suite failures and its use should be avoided without additional patches. It is expected that the next release of the OpenSSL 1.1.0 series will fix these problems. See http://bugs.python.org/issue28689 for more information."

https://www.python.org/downloads/release/python-360rc1/

I'm closing this issue for now; feel free to reopen if there is something else you plan to do with it.