Hello Manda,
This is a very good approach, but only for finding missing words, or if the flow and pacing of your writing need some improvement. However, what I would say (my approach is very similar to yours), be mindful that it may affect your creativity. I must use a grammar checker as English is not my first language. However, if I overuse it, I think it turns the way the words flow into something I remember from work - designed for comprehension only.
My suggestion with your approach, write in blocks, whatever you are happy with. For example, 500 words, check, read it back and when you are happy, proceed with the story. It is very easy to be caught up in the moment and write more, it does mean this is more to edit, to deliberate over, to change... or... throw away.
Put yourself in the character's own mind, would they do that, do they have a quirk, let their personality and thoughts shine. Ask these questions of them, and put that into your writing.
Last, GreyMatter has a great point, find a picture - I love this. You find a picture and it inspires. When you are stuck for a story, they can just come from musing at a picture, and then you are away!
Have fun, and publish! We do not bite! 😘