True, I do not brine the Prime briskets from Costco. Although, it certainly would not hurt. I cut my briskets in half, because I have a #1. The two level smoke in the small size box actually works quite well. The point on the shelf below shields the flat against the more intense heat, which is quite close to the point in the #1. But if you have a #3, then you should smoke it whole, with the point toward the back like Gregg says. I don't wrap anything either in the SI. I don't find it necessary, but if you want to wrap, parchment paper seems like it would work fine. I don't have any experience using it for wrapping in the SI, but you shouldn't have any trouble with it burning. It might end up a little more soggy than butcher paper would, since it is probably not as thick, but I think it would be okay.