with a twin stick t-case (forget about the doubler for now) you have a shifter for the front and one for the rear outputs (that go to the driveshaft yokes for each axle) - with these you can engage either front or rear, high or low independently for each axle, which means you can have rear hi (known with a regular 231 as 2wd or rear wheel drive hi), rear low (2wd still), front hi (front wheel drive) and front low. You would also have the ability to go 4wd hi and low just like with the 231. The doubler (crawl box) has it's own lever, what it does is to reduce the gear ratio between the trans and t-case, that means that when engaged would apply to whatever your t-case is set to (rwd hi/lo, fwd hi/lo or 4wd hi/lo), so if you have a t-case with a 4:1 ratio and a crawl box at 2.6:1 then when in 2wd hi with the dobler in low your combined ratio (doubler and crawl box) would be 2.6:1, if you engage low on the t-case you get to 10.4:1, you disengage the doubler you'll be at 4:1, then put the t-case back in hi and you're bact at 1:1.
there's some info and pics on the shifters i made (3 of them) in my Doubler (crawl box) build thread as well as when i did my NV3550+D300 install in the member's projects section (which had twin sticks at the time for front/rear independently).