There are a few situations where replacement of the caliper is indicated, including failed seals between the caliper halves, corrosion [especially in the piston bores], etc. Caliper no longer 'true'? Sounds a little sketchy to my ears - what dimension is purportedly out-of-true, and how was this measured??
If the caliper is sound, then a rebuild is simple and effective. Check the state of the piston, and replace if it is corroded.
Oh, and get a cool brake kit on those front brakes, Ted. Now that you are runninf in Blue, and beginning to 'brake like a man', the heat will become an issue. Congrats on your rapid progress on the track