What t-case would you run? 4x4 noob here

[12secondnova]

So I'm getting a little ahead of myself here but I'm researching everything I'm going to need for an LS swap into my blazer lovingly named White Trash. The 350/350 combo in it is tired and has trouble shifting and the 205 doesn't work for some reason. This is going to be a budget build, (all stock 4.8 or 5.3, trans, front and rear diffs) Its stock height with 30s on stock wheels if that makes any difference.

HERE is my question: What transfer case would be the easiest to install behind an 4l80 or 4l60 with a passenger side drop? And what version would I need, 4x4 or 2x4? Its going to be a street driver that will hardly ever see any actual 4x4 use. I don't really want to have to take a transmission apart to put an output shaft in cause I can't do that myself. SO what say you 4x4 experts here? What would you recommend?