I ended up deciding to connect the head and the neck since it didn't generate much deformation and it would reduce the number of seams I'd have to deal with when actually texturing. I made sure to leave an open spot available in the map for the eye texture. Since the eyeballs are seperate objects, I have to apply their UVs seperately.
There is no feature in any of the current releases of Max and dump a texture from the UVs automatically. There are plugins for it, but I'm not going to assume that any of you have those plug-ins, so I'll just tell you how to do this next step the manual way.
Maximize / fullscreen the UV window and zoom into the 1x1 square as close as you can get. Now press the PrintScreen button on your keyboard. This will save a copy of your whole screen into windows clipboard. Go into Photoshop create a new image file and Ctrl+V (paste). You should now see the UV screen you had up just a moment earlier.
Using the rectangular marquee selector, Select around the 1x1 Square and Crop the image. Select the Magic Wand tool and go to the top menu where you can adjust the settings for the tool. UNCHECK Anti-aliased, and Contiguous. Now zoom into the picture and click on one of the white lines. It should now select every bit of white in the whole picture. If there is any green, make sure to click on one of those areas as well (hold down Shift while clicking on any additional colors so that it adds to the selection instead of creating a new selection