Agency teacher in Thailand, looking to move into Home room

I’m a British native English speaker currently teaching full-time in Thailand through an agency. I teach English and Mathematics across Kindergarten and Primary levels for around 25 hours a week and have solid experience with mixed-ability classes, phonics, vocabulary, storytelling, classroom management, and adapting materials to keep students engaged.
I have a BA and a 120-hour TEFL, and I’m actively looking to step into a proper Homeroom role where I can take ownership of one class, build longer-term progress with the same students, work more closely with the school team, and have more involvement with parents.
I’ve been applying consistently for about two months, sending multiple applications most days. The majority get no reply at all. The ones that do reply and invite me to interview have so far led nowhere. After the interviews I never hear back. I’m open to relocating for the right position, but the combination of low response rates and interviews that go silent is becoming frustrating.
For those who have successfully moved from agency teaching into a direct school Homeroom contract, what helped you make that jump? Did you find it better to move to another agency first, or go straight for school-contract Homeroom roles? Any practical tips for getting actual follow-up after interviews, or for securing interviews when you already work full school hours?
Appreciate any honest advice from people who have been through this.