I did a SIM change and voila! LTE! These speed tests were done on the UWI Campus. Turns out they have coverage at the Post Office tower, Back Gate and the Hospital tower.
http://i.imgur.com/edS5UFE.png
http://i.imgur.com/iOP7CDT.png
Coverage actually surprised me, I did the change at FLOW Sovereign and as soon as I inserted my SIM, I got LTE coverage. Speeds were excellent deep inside of the mall. Driving away from Sovereign impacted it very little. I did notice a switch down to HSPA+ while travelling down Mona Road. It did pick up once more right by the Total Gas Station. Note, you will fallback to 3G if you go inside buildings and they are conciously limiting users to 50 down /10 up but I have seen spikes up to 50 Mbit/s up and 70 Mbit/s down