Can anyone recommend me a case for under 80 $ that has at least 2 x 140mm fan support in the front and one 140mm in the back?

That is a pretty case. I do wish they would make the top just like the bottom. That way you can exhaust out the top and have the aluminum as a sound baffle. Also widen the case to support 140mm fans all the way around.

Corbus:

Can anyone recommend me a case for under 80 $ that has at least 2 x 140mm fan support in the front and one 140mm in the back?

https://www.newegg.com/Product/Product.aspx?Item=N82E16811352054&cm_re=fractal_design_define-_-11-352-054-_-Product An absolute unit of a case. I have it personally and it fits perfectly what you described