I'm on my way out right now, but I will post some pictures of my strap a little later on today, so you can get a visual of what I am describing.
As promised, here are a few pictures of the strap that I am currently using to secure my camera to me while underwater:
Here's a picture of the complete strap with the lanyard I attached to it.
Here's a close-up shot of each side of the strap. One side came standard with a clip attached to it.
The other side simply had locking Stainless steel ring, so I attached a lanyard and a stainless steel clip to it.
The base plate of my setup has several open channels, so I generally attache the clips from the strap to one of the channels and the other to my rebreather harnesses d-ring.
If I want to keep the camera closer to me, then I simply slide one end of the strap through the d-ring and attach it back to the other end of the camera's base plate, and if I really want to keep it close, after I clip it to me somewhere, then I put my wrist through the lanyard, which gives me double the security and really tight control.
Lately, once I close up my camera, I've been attaching the strap to the top or my arms, which allows me to either hand it up to the divemaster for easy carrying from the top or I can even throw it over my shoulder and carry it like a handbag when transporting it out of the water. Deep in mind, that I would normally have the arms and strobes folded in more than what is depicted in the photo when I have it out of the water.
The basic strap is something I bought at my local specialty technical diving dive shop, which just happens to be Dive Rite Express. As I previously indicated, it's the bungie strap used on Dive Rite's Nomad Wing System, which I happen to own, so I just bought an extra one. The bungies are sold seperately and they come in 11", 13", 15", 17" and 19" lengths and run about $25 each, but remember that I did have to add the stainless steel clip to mine after I got it. If it something you decide to use, here's the link to the specific page on the Dive Rite Express website where they're sold. You can actually see the bungees on the picture of the Nomad Wing at the top of the page, but just scroll down to the bottom of the page and you will see the option to purchase the bungees individually.
Dive Rite Nomad System
Hope that helps or at least gives you an additional idea to consider!
Adrian