$180 for a 175mW green? Not bad. How did you test for this power? (Sorry if it's in your Youtube vid, I can't watch videos at work).
Have you tested divergence? You may have gotten a pretty damn good model there.
It all depends on which host. Some are quite thin, maybe a half inch in diameter, and they can go up to a few inches.
Why don't you try doing some of your own research? The skylaser is 6 inches long, and I'm not sure how long of a laser your bracket needs to hold it in, but most sites provide...
How long would you be keeping the actual laser on? If it'll only be for a few seconds, a pen host is probably what you want (skinnier, less weight). If you have to keep it on for extended periods of time (30 seconds+), you should look into larger hosts, like flashlight hosts, with better duty...
I've been on the fence about making my own host for a while now as I have all the tools necessary for it (not the parts for a complete laser, though), and I'm pretty set on making one at this point. Problem is, without having any laser diodes, heatsinks or other hosts around, I don't know too...
Here's a 30mW laser from DinoDirect.
30mW 532nm Handheld Green Laser Pointer Pen(1 x 18650 included) - DinoDirect.com
Not guaranteed it's 30mW, but I'm sure it's stronger than 5mW. I looked at the bracket you're trying to put this in, it goes for the skylaser 5mw which is about 6 inches long...