Any of the BMR bars that start with "XSB" will not be what you are looking for.
I think we offer more designs than anyone else, in terms of rear anti-sway/roll bars for the S197 platform, and since you stated "handling" I will tell you that all of the designs on the market can/will do their intended jobs.
BMR and Whiteline have their own unique designs. We (BMR) also have a "stock style" design you referred to as Image #1 (that is our bar)
Due to being in this industry, I tend to split atoms. The bar in Image #2 I am personally not a fan of because it narrows the main bar by placing the mounts closer to the rear differential than the OEM outboard location.
The factory design is great for the most part. It enables a small diameter hollow bar to be used as it captures the chassis outboard AND the axle assembly very far outboard. Due to this, you can have a smaller bar that does a great job at controlling roll. When you have a bar that takes the lever arm mounts and moves them inboard substantially, and then move the bar pivot/mounts inboard even more - this means you have to use a very strong (heavy) bar to make up for the lost wheel rate. Heavy/massive bars mounted to the rear axle, this is something I am not fond of personally.
That being said, I have many customers who use that style mounted to the axle and say they love it. Yet, at the same time I have just as many customers who use tiny tiny or NO rear bars too....that love it and win races? Hmmm...
My vote is to keep it simple. Use a stock style rear bar and enjoy!