Yes, a USB enclosure should work. But not all enclosures will work, and not all enclosures will be able to supply the data rate needed for 16x. I don't really know much about enclosures, but you can see what people are saying in the big enclosure thread here:
It doesn't matter what drive you use; if an enclosure works for one optical drive, it should work for all of them, and if an enclosure has issues with one optical drive, it should have issues with all of them. There are a few exceptions, but that's how it generally plays out.