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Assuming this is basically the "rack of pork" sold by Costco, I'd figure on one bone per person unless you've got really scrawny racks. So, to be safe, for 16, you'd probably need 3 of them. I've cooked them slow and fast on the egg. Either way, they turn out great.
One trick that can help big time with NY strip (which could otherwise be a little tough) is a Jaccard meat tenderizer. It's a few dozen tiny blades that you jab into the meat before cooking. It tenderizes and as a side effect, the holes created speed up cooking...so watch out if you're used to certain cooking times for meats of a given thickness.
I did giant NY strips tonight, which I was quite happy with. One was 1.8lbs, the other 1.85lbs. I sat them out on the counter at least an hour, jaccarded them, gave them a good sprinkling of my salt mix (mostly kosher salt, a little fresh ground black pepper and paprika), and cooked them indirect about 40min @300F flipping/and rotating them at 10, 20, 25, 30, 35, and finally removing them at 40min. At the 25min mark and each flip time after that, I stuck one or both with a thermapen to check their internal temp. At 40min/117F, they were ready for searing.