[tor-relays] Turkmenistan Censorship

Hello, I have been emailing with a user of my bridge who is located in Turkmenistan. They contacted me to say that their ISP has blocked my bridge(s) and to request I rotate either the domain name, IP address, or both. Has anyone else found a solution seems to work in this scenario? I'm happy to request a new public IP from my VPS provider but I'd like to avoid purchasing new domain names every few months. Maybe the best option is to buy a cheap domain and setup a "private" bridge that isn't distributed except manually? This bridge is using Webtunnel which the user says is usually harder for their ISP to detect. Should I switch to Lyrebird? Thanks