I haven't tried it, but jaguar's design looks legit.
i believe you about normal expansion chambers being too loud. my own data come from a kludged together pseudo expansion chamber solution i put together in a rush to get my ride working. it consists of the 'skeleton,' which i mad by crafting a primitive expansion chamber out of steel cans (there's a post about it in my history) bent into shape, with a minimal silencer part at the end - top 1/3 of 23oz aluminum can with half a steel scrubber stuffed in and tacked on place. it didn't seal, not even close like that, so I built it up using layers of aluminum foil and cold weld exhaust&muffler repair putty. after enough of this heat shielding, I cheated and used Bondo, plus more foil. all this material seemed sufficient heat shielding, but it seemed maybe a little bit brittle and was still pretty loud, but already several dB better than straight pipe or expansion chamber alone. so I added couple layers of furnace tape and duct tape, and actually I put more Bondo, stretched part of a broken inner tube over the whole thing, added one more layer of Bondo and foil, put some more tape and painted it. it's pretty dang quiet now and feels pretty solid and stable.
I was a little uneasy about the safety and integrity of using rubber in there like that, so I can't recommend it at this point, though it's worked well for me for the past four or five hundred miles (trips up to 15 or 20 min, WOT for maybe 15-20% of that, probably 4 or 5 min at the longest stretch)
Jaguar points it out on his site that an expansion chamber tends to be loud because the walls of it will flex from the pressure and reverberate like a drum or loudspeaker, sending out intense noise that bypasses the silencer completely. that's 100% right. what I'm saying is that layers of heat and acoustic shielding can be wrapped around the pipe and chamber to cut down this sound too. it's even easier than making a silencer muffler, though I'd urge you to make yours hopefully a bit more professionally than how I made mine though...