Well I don't think the AD623 will work.
I found this nice tool on their site.

http://www.analog.com/Analog_Root/static/techSupport/designTools/interactiveTools/inamp/inamp.html?inamp=AD623%205V

And I can't get the 2.048 - 4.096V  range on it.

Always gives me out of range.

This is starting to get frustrating instead of fun!  ;-)

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