Deepl's English is fairly accurate. Much much better than Google Translate. But if you are also writing in English directly these days, that is better still. But yeah, I know, slow. I am the same in nihongo 😃
And since I start writing after the kids go to bed at night, I often run out of time... I am considering writing in the morning like you do!
Worth a try! I know it's tempting to stay up late to write, but at least for me, my mind is so much fresher in the morning and I can think clearer. I hope it works for you!