oh boy...head broke off torque conveter bolt

The deal with the Ease Out (LH threads) or the LH drill bits (set drill to run counter-clockwise) is that when either encounter more resistance than the broken bolt has created, the bolt will back out. In the case of the LH drill bits, it will even climb up the bit.

I learned my lesson about Easy-Outs a long time ago (two lies in one; they are not easy and it won't come out). What happens is that the very hard and brittle easy-out snaps off in the hole and then you're screwed (pun intended).

Someday I want to get a set of left-hand drills, I think that's the way to go (short of welding a nut onto the stump).