Thanks for the good thoughts.  Here are my responses to questions raised:
1) There is a 1.5 x 1 foot opening in the back of the closet where a 1600 watt wine cooling unit was installed.  I'm going to remove that because it sucks a ridiculous amount of power. I was tempted to use it it for cooling, but that's just too much power.  So, all fresh air will come in through that opening.

2) Phillip- from our earlier conversations, I was under the impression that each Avalon 741 miner puts out 200 cfm.  200 x 5 miners = 1000 cfm.  My fan will remove 1200 cfm and then I will have a small fan pushing in fresh air through the 1.5 x 1 opening.  Why wouldn't this work?  The larger 10" duct coming from the miners makes sense.

3) The door will not be kept open to cut down on noise.  Also, the walls of the wine room have some special insulation which also cuts down on noise.  I haven't received the 1200 cfm fan yet, so I am a little worried about how loud that will be.

Going to bed now.  I will post pics soon.  Thanks again.