@montmill
Possible method ... never tried, but it might work.
Put the Delrin bushing on an A mandrel held in Jacobs chuck in tailstock. . This would get the bushing aligned with axis of lathe.
After gripping in headstock chuck, withdraw the A mandrel and replace it with drill bit of appropriate size.
Drill (carefully and slowly).
The hole doesn't need to be enlarged by very much, so if you drill carefully and slowly, you don't need a "heavy" grip on the Delrin bushing.
The 4-jaw headstock chuck should compress the Delrin quite uniformly, so I'm betting there won't be any out-of-round.
To get down to specifics, the A mandrel has a diameter of 0.246", while the B mandrel is 0.291" (both +/- 0.002") according to my online source.
So you are enlarging the hole by only 0.045".
Probably drill with an M drill (0.295"). . An L at 0.290" is prob. too small. . Drilling with M, the hole will prob. be just about right by the time you retract the drill and the hole springs back down in size slightly. . You could do the drilling in two stages, if you want, to keep the stresses down and permit a "lighter" grip in the headstock jaws.
EDIT: But .... As Ken just said, making your own Delrin bushings is easy peasy so that's probably the better way to go.