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Be careful, if you google too much, you'll just be left drooling on your keyboard.

http://www.greeneggblog.com/the-reverse-sear-technique-on-a-big-green-egg/

I prepared some steaks like this on Sunday, my wife said they were in the top five best steaks she's ever had. :-)

Happy Wife = Happy Life.

The other advantage is, you can prepare your steaks in advance, then, wait until you are ready for the final sear. This gives you more time to spend with Bianca and friends (perhaps an extra beer) before you finish off the steaks.