I have repaired 2 badly installed systems (75 YO female) and it is a pain for sure. If you want to try making the hole larger, maybe backfill it with a large grain sand or possibly pea gravel to allow for the movement. I understand about not wanting to destroy plantings, but from experience just dig the hole big enough! You can gently lift the plants and replant when you have all the work done. The only way I can see this working is cutting the damaged T away, getting a new T, a piece of PVC for the sections, 3 additional connectors to attach the new pieces and glue it all together again. It might have broke because it was originally put in to rigidly, maybe not completely level and maybe using sand to pad the repair will help with that. Just give it up, dig your hole big enough to work the issue, don't try to work this with the idea you can do it and not damage your landscaping. If you try, you might just find yourself repeating it all again. The one thing you can be sure of with irrigation systems is they are a constant pain. Good luck.