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Looking at maybe the 1/32-5/8 MT4 integral shank South Bend at the bottom
left on this page.

http://www.grizzly.com/catalog/2018/main/666?p=666

The price seems pretty reasonable for the name, but I am aware that SB might
not be the same as they once were. I have never needed grip range smaller
than 1/32. I do drill some small holes on the lathe, but I tend towards
carbide drills with an 1/8 shank for that type of work.