Startools may not "clip" the data but because it says so doesn't mean it isn't
Not a fan of startools I find the interface very slow and clunky but if you get great results as you are currently go with it.
I'd still work on the blacks as there is way more data in there and it will really make your image shine!
Have a look at the respective histograms in the 2 images, first is the original second is a slightly tweaked levels adjustment where the histogram has been moved to allow a gradual fade to black, there is a lot more detail there. You just need to eke it out the image itself is superb
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