From my experience, fissidens can grow in a range of temperatures, so its not really a big issue whether you run a chiller/air-con or not.
In emersed setups, the 2 important factors are humidity and light. You have to make sure the fissidens are constantly hydrated and not dry out. As for light, there should be sufficient light for them to grow. Too little light and they will grow very slowly and look darker in color... too much light and they may get "burnt" and turn yellow. So you have to find the right combination.
You can check put my fissidens outdoor grow project for some reference...
http://www.aquaticquotient.com/forum...ject-Fissidens
Although the emersed stage in my setup is only 1-2 weeks for them to attach to the objects, the temperature in both emersed and submersed stages hit >32°C frequently, yet the fissidens still grow.
As for the fissidens spreading on objects, that can happen over time too, but the spread rate is very slow, so its better if you just trim some fissidens and place them on the bare lava rocks to attach on and grow. That will help to speed up the moss coverage on those objects.
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