I saw one on this web sight call Wish they had a Aviator trapper hat russian with a removable face mask 

Been wearing Mad Bomber hats for years.   Inside the shack I switch to a Stormy Kromer .   My favorite for ice cold temps is the leather and rabbit fur Mad Bomber !!!!

Double Knit Ragg Wool... 

(with any combination; balaclava, hoodie, or a neck warmer, ect)

A very old (30 plus years) Air Force hat that a friend gave me when he was at Chanute AFB in Rantoul.  Warm as heck I wear it all the time.

Original stormy kromer 

Stormy Kromer Trapper Hat.  Warm. Also can be configured for warmer days. I chose it because I am allergic to rabbit fur. Can eat em all day but the fur doesn't like me. 

The stormy rancher is really the ticket.   Regular stormy and a hoodie do the trick also

As for Stormy's, you want a "Rancher" version.  Thinsulate in the crown and much longer ear flaps.  I tend to get too warm while ice fishing, so the flaps are usually up.  It is plenty warm and looks cool to boot.  I have 3 of them and feel that everyone should have at least one in the red plaid version...

I've  always wanted the Stormy Kromer hat, bummer to hear that they are not that warm.

I've  always wanted the Stormy Kromer hat, bummer to hear that they are not that warm.