My wife is 5’7 and weight 130 pounds, is a size small pants and XS shirt. She uses the Dive Right Hydro LIte
https://amzn.to/41gmiki and loves it. It is light weight, rolls up for travel, has a decent amount of lift, integrated weight pockets and nice big D Rings, plus its very adjustable. Because of the Stainless Steel D Rings, it doesn’t require a lot of weight to be added. My wife dives with a Waterproof 3.5mil wetsuit and only needs 2 pounds of lead when using a steel 80 cylinder
Another good one is the Aqua Lung Pro HD compact
https://amzn.to/3GsR5SE . She started on that one and then returned for the Dive Right after trying a backplate and wing. The Aqua Lung Pro HD compact (also known as Zuma) is a back inflate but wraps around your waist and has slide out weight pockets and one pocket on the left side. It has smaller, plastic D rings. Both are good but if you dont need the pocket, I highly recommend the Dive rite. You can even add a pocket to it if you want.
I dive with a Dive Rite Wing and back plate and after seeing the Hydro Lite, I purchased one for myself for when I go on trips. At 6’ weighing 200 pounds, when I use the Hydro Lite, I only need to carry about 6 pounds of weight when using a steel tank in salt water.
The key to back inflate is to not inflate all the way on the surface since it tends to lean you forward. With that said, once you dive a back inflate, you will never want to use anything else. It makes staying in trim very easy