I need to drill and tap one end of a leadscrew 5/16-18. The end already has a hole drilled, presumably for some sort of tailstock center used during it's manufacture. While I'm used to making such a hole with a countersink or spotting drill, this one has an odd looking profile, almost as if it was made with a countersink that was drilled deep.
I don't want to face the part, it sits flush in a pillar block, prefer to leave it that way.
Anyway, I'm planning to hold the piece with a 4-jaw indicated off the outside and see if I can find the center with a small twist drill in the TS, if the bit settles down I should be able get on center and use successively larger bits up to tap size. If I don't find center this way, I'll need plan B.
It's not a Space Shuttle part, just want the 5/16" shaft extension to spin true with the leadscrew axis. Appreciate any ideas on best way to start, what to avoid, etc.
Below are a couple borescope pictures showing the hole opening and the hole bottom.

I don't want to face the part, it sits flush in a pillar block, prefer to leave it that way.
Anyway, I'm planning to hold the piece with a 4-jaw indicated off the outside and see if I can find the center with a small twist drill in the TS, if the bit settles down I should be able get on center and use successively larger bits up to tap size. If I don't find center this way, I'll need plan B.
It's not a Space Shuttle part, just want the 5/16" shaft extension to spin true with the leadscrew axis. Appreciate any ideas on best way to start, what to avoid, etc.
Below are a couple borescope pictures showing the hole opening and the hole bottom.

