Vanity Fair Response: Vanity Fair has 2 bras that would work for no slip straps and back bulge. Our 75335 Body Caress Full Coverage bra is our #1 bra. It has a 2 ply back wing to give her all over smoothing and prevent back bulge. We also have 75294 Modern Coverage back smoother bra. This is a front close with adjustable straps so you can wear it criss cross if desired. This also has the 2 ply back wing to give you support and smoothing. The difference is the neckline coverage. It has a paired down neckline and a light lift. I believe either one of these bras would work. Sherrill from Frankford, DE