I was just there in December. There is not a LV store. Really not that much shopping at all besides a new development called Camana Bay. They have a Pandora store, really cool bookstore, some clothing/accessories, movie theater, and a few really good restaurants. Enjoy your trip! Make sure to go to Stingray City with Captain Marvin's crew.
OH MY GOD - I love Captain Marvin.
Is he still alive? He was 90 when I was there a few years ago. Wonderful - highly recommend.