I think my 727 is fried. Now I'm at a crossroads...

If there is no pilot bushing in the crank (there might be), you need PN 53009180: it's a needle pilot bearing that fits into the pilot hole for the torque converter. If that isn't available, 4338876 is the adaptor sleeve that presses into the pilot hole, allowing the use of the PN 4338859 bushing.