The Overdrive in the 700 will be basically useless unless you are planning to run a large motor. By the time you factor in extra rolling resistance of the large tires and wind resistance of a lifted Chevy/Gm truck the overdrives are very hard to use. Run the 5:13s with the 700 just remember that use of the overdrive will be few and far between.
As far as the doubler vs. the Atlas debate. I like the idea of the atlas, shorter, lighter, and several gear selections. What I don't like about the Atlas is the fact that in a fullsize application it may not hold up. Note: the MAY not, I know a few guys that are trying them and so far they are working.
Now for the Doubler; The things that I like about it are the fact that you have multiple reduction ratios, it is stupid strong, rebuild parts are available in most junk yards. Disadvantages are that it is heavy and "long". The way that doubler adapter and the peices work the doubler is actually very near the same length as some of the factory stuff.
The gear selections are the best thing about the doubler. I have 9 forward gears with the doubler and have used every one of them fourwheeling. Some times 4:1 is to low and the better gear is 2:1 or 2:1 with first gear isn't working so I try 4:1 with Second gear, because it's just a little different.
Get the point. Try that with any single case.