A fan would provide ventilation, so not a good idea.
I want to say something, and I hope you'll take it in the compassionate and helpful spirit it's intended.
I once knew a woman who would ask her group of friends for advice whenever she had a bad idea. We would all caution her against it, and then she would do the opposite of what we advised. This went on for several months. Then she met a guy and within two weeks they were talking marriage. She asked our advice. There were lots of red flags, we all advised against it. A week later, they were married, and a month or two later, they were talking divorce. Once again she wanted support, but none of us had anything left that we were willing to give. We gave her our best, like a tasty meal full of nutrition, but she could not absorb and disgest the nutrients, they bypassed the mark and were turned into instant waste.
You've received a lot of advice here cautioning you against doing charcoal indoors where your family lives. You've received advice about how to do it in a car by burning the charcoal outside the car, or getting a tent. But for some reason you seem determined to burn it in your room, and seem to be continuing to try to find ways to make the impossible possible. At best, it will fail, whether you can't handle the smoke, or the strong smell alerts your family. At worst, it will make your family sick if not outright kill them.
I've given you my best and have nothing left to give you, because it turns to a waste of my caring effort. Others here may still engage, I do not judge them or you. But for my own well-being, I'm going to exit any further conversations with you, with sincere best wishes for you and your family. I hope all of your needs are wonderfully met, and that you are capable of receiving and benefitting from the very best support and compassion available to you here and elsewhere irl.