Give up the idea to save the fescue. Triv will grow 4x+ in a season. Glove-in-glove doesnt have great efficacy so just bite the bullet and do it properly.
Spray with gly now, and then again in 2 weeks and drop seed after the second app. May thin out in the summer and then overseed in the fall.
If you have Triv growing already in the SE, did you apply early fertilizer? The two lawns in my neighborhood in Charlotte that I see Triv actively growing have very green lawns and pretty sure they throw a ton of fert + water on, and their Triv goes wild as a result in the spring. I had a big issue last year with Triv that I killed off, and I did early urea in Feb that made the Triv go wild. This year I applied a slow organic fert for the spring, and about a month later than last year. My lawn is just starting to green up here now and is not in the first 10% to wake up…probably needs another week. But I also don't see any Triv yet.