I have an incredibly sharp carbide needle punch that I use to make a dimple in the center of the stud. Once I've hammered a nice indentation where I want it, I start drilling a pilot hole with a very small drill bit. It's important to use a very low speed when starting this hole.
Next, depending on how things are going, I either incrementally start increasing the bit size, or if it's a well centered pilot hole, I immediately switch to the bit size for my Easy-out. With the hole drilled, I tap the Easy-out gently into the hole, then with the drill set to a low speed, reverse stud out. It's never failed for me yet
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