For what my advice is worth,
Drll out well oversize, and tap.
Make up a solid bush and screw into place, using an anaerobic retaining compound.
File / mill / turn plug back to flush. If you are really good, the boundary between parent metal and bush may be almost invisible!
Will the baseplate stand a tiny skim, say 0.002" (0.05 mm), for this?
Give the jig the same treatment, to bring the holes back to where they should be.
Redrill holes in the bedplate, using either the rectified jig, or if you have a mill, by co-ordinate drilling. If one hole is in the correct position, use this as your datum point, and work from there.
HTH
Howard