Never grown Big Cheef but Carolina Dusk is an excellent tomato.
Big Cheef x (Pruden’s Purple x Indian Stripe)
I picked two 3 days ago and will probably have some more, so it is a long lasting healthy plant. Taste is typical of a dark tomato. Didn't have another similar Black tomato to compare. Only other Black I had was Pale Perfect Purple which is also excellent but not the same type
https://heritageseedmarket.com/index...carolina-dusk/