What are the soil conditions? If you go 3' deep, can you even drain to daylight if you need to?
I ran my french drains about 1' deep. The trench was lined with septic paper, bottom filled with #57 gravel, then the 4" punched pipe with holes on the bottom, then more gravel. At the top, the septic paper was folded over on itself, then the trench was filled over with topsoil. This was done 12 years ago, and they still work very well. We needed them because our house is midway on a slight hill, and the drains intercept runnoff and divert it around the house.
The drains are connected to 4" solid pipe that joins pipe from my downspouts and directs outflow to the back yard where there is a pond. There are 4 downspoints and three french drains dumping into two main runs to the back yard.
The only problem I have had is Willow roots running up the outlet of the drain pipe in the back yard and clogging it up. I don't ever notice until a hurricane hits and my wife asks why the front yard is a lake. Twice now, I have run out in the middle of the storm, used vice-grips to get a hold of the roots, and pulled out a 10-12 foot long "snake" of roots that has perfectly formed to the shape of the corrugated pipe. Looks like a pre-historic serpent. When I cleared it last fall during Hurricane Irene, the water shot out so fast it turned into a geyser. That's what 8-10 feet of pressure head will do. Next time, I hope to remember to clear the roots before the storm...
One year we had muskrats living in the pipe, but I imagine the willow roots won that battle, since I haven't seen muskrats in a long time.