Perhaps he will yield to that pressure.
1) Get rid of all gun laws.
2) Outlaws the practice of Islam in Chechnya.
3) Announces a land give away. All the land in Chechnya will be given to who ever (Russian or not) can claim it and keep it. (Up to say 1,000 acres or some other reasonable number). Except land deemed of strategic value to Russian Military or Chechnya infrastructure (water rights).
4) No Chechnya wide law enforcement, all law enforcement is local.
5) Security provided by Russian military, but most locals are on their own and must band together to provide self defense.
6) Low, very low taxes.
Implementing the above would attract he kind of people that would fight to keep their newly won land and would ban together to fight the Islamic terrorists. There are lots of poor dislocated people in the world that would jump at the chance to own land in a rich country like Chechnya. People like those being throw out of Africa, or Crowded out of the USA and Europe. Such a policy would work.