Hi, I am in the same situation: I want to build DIY Corner Bass Traps. I think the most important question is the Absorber Material that you want to use and then build the Frame around it.
I will go with the Caruso Iso Bond WLG 040 (>5kPA) Material, where one element is 120 x 62,5 x 15 cm. I will cut each element in half (diagonal) so that I get two same sized triangles (from each element). Then I will staple these triangles from floor to ceiling. I will leave an air gap of 10cm to the walls to avoid mould. Caruso Iso Bond is 100% made of Polyester, so there are no health concerns (not like with Stonewool) at all. You don't need to cover it with for example frost blanket/garden vlies or something like that. Only for optics i will then cover the Frame with a fabric from ikea. Here in Europe its called "Ditte" which is very cheap and also has good air flow.
If you want to use Stonewool I would also cover it with frost blankets/garden vlies. Here is a thread where a user had breathing problems:
Shortness Of Breath From Rockwool Absorbers
I guess it is not so common though. Here in europe we use lots of stonewool isulation - it gets realy cold here

And I know construction workers dealing with stonewool nearly every day, that have no health problems with it...