Sure it would work without the peltier chip in an open bath. You will lose fluid over time though if you don't condense it.
I am using a much bigger box for my final unit and hopefully I can fit 20-25 Neptune cards in the box with a very large radiator.
I will add them 5 at a time until I can't dissipate the heat anymore.
Here is the video -
https://www.youtube.com/watch?v=gk3Vydo-L58Welcome to the club of immersionists smracer

How many amps is that TEC you are using?
How many watts do you have at the wall (or 12V) in this setup?
Here are videos of the AM BE200 and SP SP10 in case you missed it:
http://www.vimeo.com/datatank/