I like the Pulse 60 light better than my Hotshot. As for mounting in a reflector bracket, I have this design:

https://www.youmagine.com/designs/bi...0-to-reflector

I'm currently refining it, the one uploaded there doesnt' grab the light properly. I have that fixed but I'm trying to adjust now for using readily available screws (reflector bracket screws are something like #8 x 1/4" which are basically impossible to go to a store and buy). If you wind up wanting one, PM me. I should be done with the design this weekend and I'd be happy to mail you one.