FWIW, since these come in 1/4, 5/16, and 3/8 diameters. You may want to use the smallest (1/4") to start with on your next build, then it can be drilled out to the next larger size. I agree an EZ Out, driven in, may only expand the liner, making extraction even more difficult. D/T for a Torx, soak, back out, as suggested here, makes a good solution.
You could consider a custom-made liner in 7/16". There may be some 'smiths on this Forum who can make one for you. Should be a straight forward job to turn, drill, and thread a cylinder. Shaping the cone might be tricky. Maybe Chambers would make a custom liner in this size, as I suspect you are not the first person to have this problem. (Don't expect the price to be the same as the standard sizes!)
Drilling the old liner out should be easy as the drill bit will want to center on the flash-hole, making the new hole concentric with the old.