Where is a reliable place I could buy a second-generation iPod shuffle w/out the port or headphones?

Honestly, if I were you I would buy a brand new iPod from the Apple website.  Only $10 more, you get free engraving, warranty and more and it comes with 2 times the storage and is much better made then the older generation models.  To create the worlds smallest music player, they moved the controls from iPod shuffle to the earbud cord. This allowed them to make the new iPod shuffle dramatically smaller, but not just for dramatically smallers sake. Its also easier to use, with the controls located where you can access them quickly.

Easy-access controls.
The controls of the new iPod shuffle are located on the right earbud cord. With command central now strategically placed in this more convenient location, you can navigate your music and activate the VoiceOver feature without taking your eyes off your run, your ride, or whatever youre doing.