Some of the really deep guys can do hands free with a mask which I think is a God-given talent, leaving the rest of us mortals to watch and envy! I have never heard of anyone who learnt to equalise hands-free on deep dives (60m+) using a mask.
If someone taught themselves this I too would love to hear how it is done.
The way to hands-free equalisation open to everyone is to use a noseclip and fluid goggles (or a noseclip only if you find it comfortable). A guy called Eric Fattah makes superb fluid goggles which you can find here
www.liquivision.ca. The vision is somewhat magnified and only clear up to a few feet. But the goggles allow you to sink on a Constant Weight dive with arms out front which is much more relaxing than using a mask which needs to be equalised. Hope that answers part of your question.
Theo.