Reddit mentions of Tamara Black Half Padded Bra 5921 Black 30FF

I'm going to go out on a limb and say Parfait Tamara. Padded half cup with decent center projection (so it should lift and shape) and little to no upper coverage along with a firm, tall band. I'd try the 38F and 38FF - it's a discontinued style, so it's extremely cheap. Here's the Bratabase gallery to give you a better idea of what kind of fit you'd get.

Edit: Maybe also the Sculptresse Molded Lace Bra in a 38F/38FF (also at Amazon)? It seems to have coverage similar to the Bali that fit you passably well, with a bit of extra space in the cup for your bottom fullness but with a taller/wider band for better side coverage.