ohhhh. no it won't.
What you want to do is to just buy a regular blank C6 host from dealextreme.com or some other website, and then go to CajunLasers.com and buy the heat sink.
When you get the host, take everything out, including the driver pill so it's just one empty body.
put the module in the heat sink and you should have enough room for a single 16340 (CR123) battery.
So you just need to buy the blank host, and that module.
I have not actually done this, so the measurements may not add up....
I think if anything, you'd end up with TOO much room for a single CR123.
My caliper's battery is dead or i'd measure it out for you.