Assuming you get the rim back to good shape you should not have to be "chasing the dishing and truing back and forth." Get the rim close to dish (toward the drive side), mostly tensioned and very true. Then tighten all the drive side spokes to get the dish and tension close to final.
If dish is still not quite right, loosen all the NDS spokes (1/4 or 1/8 turn) before you tighten the drive side, both by equal amounts if tension is OK, 1/8 turn more on the drive side if tension was still a bit low when you started. Retrue - remember, always tighten/loosen in pairs or you will change tension). Recheck dish, repeat once more if necessary.