"will be cooking" is correct and usable in written English.
You can use it whenever you want to express an ongoing action that will take place in the future. For example, "I will be cooking dinner tonight."
Our super dynamic park guide is Willy Donatien Iambotsara, and our park cook (we will be cooking on charcoal) is Rabesahala.
(Then again, I will be cooking more).
There will be cooking demonstrations and foods to sample.
There will be cooking demonstrations and food for sale.
Which means next time, I will be cooking that, not this.
More than 20 chefs will be cooking dinner, which takes place in the market's concourse.
"My brothers will be cooking modern gourmet dishes with local ingredients.
Richard will be cooking, and I'll be screaming at the television.
There will be cooking demonstrations and food samples from noon to 5 p.m.
LOWCOUNTRY William Sullivan, a Virginia native, will be cooking Southern food with a Tidewater vibe.
There will be cooking demonstrations, hands-on workshops, a bake sale and culinary gifts for sale.
