With the Troy rail you get a continuous upper rail with no gap where the barrel nut is placed. As well, you can install it without removeing your FSB or barrel nut. All you have to do is dremel off your delta ring and the spring inside. It has two "wings" on the side of the lower barrel nut clamp that prevent the rail system from ever being able to rotate the barrel nut. As well, the lower portion is quickly released for cleaning or installing a grenade launcher by pushing a stainless steel nipple in and pulling the rail section towards the front sight (can use an unfire cartridge or an allen key to press the nipple in). Installation can easily be done in 5-10 minutes and only an allen key is required.
With the Larue i believe you are required to remove your factory barrel nut and replace it with larues. As well, you need to remove your flash suppressor (this could be a problem if it's pinned or welded on) and your front site base. Most of these shouldn't be a problem if your getting the system installed by a gun smith, but it will be more difficult to install yourself than the Troy. The larue is also a one piece system which means it should be more stable, but unfortuantely you can not remove the lower portion of the rail to clean your barrel or mount an M203 or flare launcher. This may or may not be a problem depending on what you use your gun for. Edit: Oh yes, the Larue system also has a pin mechanism that prevents the rail from being able to rotate your barrel nut.
Personally, I purchased the Troy system. Unfortuantely it took them over 4 weeks to fill my order, but the wait was definately worth it for myself. The finish is top notch, and their is not a hint of movement in the lower rail. All in all an excellent system and the continuous rail, while not required, makes mounts such as cantaliever mounts unneeded. Plus, it looks rather nice to have an uninterupted rail. The instalation was a breeze, and if you can twist an allen key you can do it in no time at all.
Both rail systems are manufactured in the USA and are both in spec rails (I know the larue is garenteed to be, but i'm not sure about the troy. No problems mounting anything yet on mine though).