Yesterday and today I managed to get two more Gym Badges in this challenge. I went throu Chargestone Cave, then went and found Sklya at the Celestial Tower so that she would go back to her Gym. I swept her easily by setting up 2 Tail Glows on Phil that I Baton Passed to Claire who swept Skyla's entire team with 3 thunderbolts. After that I made my way through Twist Mountain to Iccirus City where I took on and defeated Brycen. I saved outside of Dragonspiral Tower. My team right now:
Phil / Lv51 / Tail Glow, Baton Pass, Brick Break, Hidden Power (Flying)
Claire / Lv50 / Bug Buzz, Thunderbolt, Shadow Ball, Hidden Power (Ground)