Definitely interested in this, whether someone else is GM-ing or I am. For what it's worth, I personally would go for the following as my choices:

[hider=First Choices]Near Future (Enemy Unknown style)
Character-Driven
Starting in the middle of everything[/hider]

[hider=Second Choices]Contemporary
Combat-Heavy
Starting in XCOM HQ just before the first battle[/hider]

And I'd definitely include Enemy Within content, because who doesn't love cyborgs and supersoldiers?