The only problem with using broadheads is twofold. 1) they are expensive and 2) you'll end up not being able to take shots when the birds are up in a tree. I can't bring myself to cut loose a broadhead arrow, knowing that if I miss that thing could end up who knows where. I'm not going to be that guy.
I use judo points, and carry 1 or 2 grouse arrows in my quiver when I'm out. I keep all of my old arrows that won't spin broadheads, and use them for grouse arrows.
It's a kick in the pants to shoot grouse with a bow.