I have similar hair to you, and I have given up straightening it. I have struggled to find a good cut too, as it can go so frizzy and bushy. I have so many hair products I have tried, that didn't live up to their promise.
I now have an angled bob, it is cut in at nape of neck with some longish layers at back, so has good shape at back of head. The front is angled down to my chin. She did thin the sides a little with a layer or two. I have a side fringe.
When it's partly dry, I blast it with dryer with my head upside down. It dries wavy, but at least it is a recognisable cut so not such a bush, so I am fairly happy with it. I use L'Oreal Elvive hair oil or Aussie Miracle Shine Leave in Conditioner Spray. Very short hair is hard work for me, I like this option.