Rocket X 3

Hoka Rocket X3 or the Brooks Hyperion Elite 5 are probably most stable of the current carbon plated racers.

I find my Hoka Rocket X3s very comfortable a stability is pretty decent too for a lightweight race day shoe

I tried the Hoka Rocket X3 and absolutely love it! Comfortable, light, fast, bouncy, but stable!

I just ran a half marathon in these and they felt fine on my flat, wide feet. I will say the sizing seems to run about a half size small in the length. I am a size 11, and I think I should have gotten an 11.5. They are said to be fairly stable as far as super shoes go, though I haven't tried many others. They were springy as hell, and quite fun to run in. I did a lot of my speed training in endorphin speed 4's and they are light, have the plastic plate, and I had no issues with width. They seemed too firm for about 50km, but they softened up quite nicely, and I ended up running PR's in 5 and 10k in them during my training runs. I quite like them now, and they won't quite hurt your wallet as much.

Rocket X3, Endorphin Pro 4, SC Elitev5. There's not a true stability racer, but the geometry of those has worked well as being a bit more stable.

That's certainly fast enough for "super shoes". Not mentioned but one of the advantages of supershoes is that they are easier on your lower legs and feet and can help you maintain pace on a longer race. The problem is finding the right shoes. I'm a little faster than you and just love my Rocket x3s. More comfortable to run in than my normal training shoes

The Saucony Endorphin Pro 4 & Hoka Rocket X2 or X3 are the some of the most stable carbon shoes out. I have the Endorphin Pro 3 and love them as someone who usually runs in stability or stable neutral shoes. Otherwise the Asics Superblast are another pair of shoes I like, they arent carbon plated but they are still fast and fairly stable for a huge stack of race foam