okay, here is a response that is not just based on personal experience about sick gloves:
First off, yes, the Burton AK top of the line is nice.  Definitely consider it.  Other considerations are: Hestra gloves.  They are an old glove company that makes REALLY nice stuff.  I was lucky to snag a pair last season for cheap ($50.  hey, they cost $110 new).  They are really well made and super warm.  The ultimate mountain glove by Marmot, whoever suggested that, is also a nice choice.  Lastly, as someone said, if you don't care about style too much, I had some down mittens which were amazing.  I would highly recommend them.
I have the same circulation problem, and here is a HUGE tip that my doctor helped me with and changed my hand warmth: how warm your hands are is contingent on how warm your arms stay.  Wear underarmour type gear or other stuff that keeps your arms warm.
I dream of winter.