Rockwool is fine as long as you don't touch it and you ensure that it is safely enclosed (you shouldn't get any stray fibres floating in the air, but it is always best to have a cover it anyway.
However, you seem to have decided on a solution without understanding your problem......
What frequencies are being generated in your room?
Will a single bass trap design be the best solution to the problem?
Do you need to provide coverage over a range of frequencies?
What are the standing wave frequencies?
What other treatment might you need?
Answers to these questions can only be found by using the rooms dimensions, construction materials and other factors described
here to decide on what your course of action should be........
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