From my own experience I can tell you that Google indexed my website after about 2 weeks from its creation, it hadn't even some proper posts and I could find it at a Google search. Of course not in the first page, but if I checked it in Google, with "site: insert your site domain here" it appeared all right. I don't know about churn & burn sites but if your main concern is if Google will index your site, it will. But if you already chose the churn & burn site, you need not to worry for the indexing, your ranking will be high so you will be in the first ten or so.