I think you're misinterpreting what that link represents. Just because a satellite might physically be overhead, is not necessarily consistent with you being under it's geographic area of coverage. The two links I provided depict that coverage. You're not anywhere near the US footprint. But if Latin American DirecTV is acceptable, there is reasonable coverage over 12N/68W
As far as US coverage, I think you're reaching. Look again at http://www.kvh.com/footprint/tracvision ... ctv_us.asp
. Note that the the size of the dish required nearly doubles from the red line to the green line. I'll speculate that if any usable signal at all reaches the northern Venezuela coast, you'd probably need something in the neighborhood of a 4 to 5 meter dish.