Well it seems to be an obvious tactic, particularly if you have 5 religions to look after. Just get rid of one using those missionaries. Often it's not so easy if you capture provinces with populations larger than 5000, but since you can't keep everyone happy in this situation, just make the lives of one group absolute misery. A 10% revolt risk of more and they'll soon be out of the street. The resulting unrest will wipe out large groups of the population allowing your missionaries in (and they almost never fail with that 95% success rate).
Therein lies a little problem which I've noticed before in one AAR. Sometimes, the population just falls to 5000 exactly. In converting Armenia (not yet), Uralsk and another Astrkhan province, this happened to me 5 times so I'm sure there's no coincidence. Does anyone know why the population so often seems to stop at 5000 (but sometimes does fall below)?
Therein lies a little problem which I've noticed before in one AAR. Sometimes, the population just falls to 5000 exactly. In converting Armenia (not yet), Uralsk and another Astrkhan province, this happened to me 5 times so I'm sure there's no coincidence. Does anyone know why the population so often seems to stop at 5000 (but sometimes does fall below)?