The only part of the standard Brigadier that is larger than a regular 92/M9 or 96 is the slide. The frames are identical. So anything that works on a 92/96/M9 frame will work on your 96 Brig.
A much better looking and cheaper alternative is the TICK rail adapter (now called the EZ Rail). You can find it on a number of websites for around $50. It slips over the dust cover and clicks into place via a small opening in the side of the rail where the Beretta's takedown button is on the right side. So you push in the takedown button, slide the rail over it, and the takedown button pops into the opening in the rail. Once on, you tighten a nylon screw which snugs it up against the front of the trigger guard.
I had one on my 92FS temporarily, and it held up pretty well. I fired it at the range one time with an attached Streamlight TLR-1 light, and after about 100 rounds, the rail was a little loose, but it cannot come off unless you press the takedown button in all the way and slip the rail off. It just wobbled very slightly, until I retightened the little nylon screw.
The real downside to the TICK is that if you have it tightened down properly, you cannot really take the gun apart, since there is so much tension on the takedown button. I like being able to field strip my pistols without having to use tools or take anything off. The TICK's screw has to be loosened to free up the takedown button if you want to field strip the gun.