Here is a bit of technical explanation:
Every satellite has a main carrier-signal, this is the signal mostly used for alignment on satfinders.
And is for finding the satellite ONLY, has nothing to do with the programming, reception of channels etc, just a beacon for the footprint.
Most satellites carry more than just the tv channels that you want.
BUT
NOTHING about the used transponders and their directions.
A transponder is nothing more than somebody with a big (adjustable) flashlight, who sits on the satellite.
A transponder has its own frequency, in the better (digital) satfinders you can choose them, Dishnetworks has this option too in their receivers, i have no idea about DTV equipment.
Now is the trick to get the right transponder in the view of your dish, for DTV on the northcoast a 1.80m dish can give acceptable solutions, on the south a 2.40 meter is just the start.
For DISHnet 1.80m for 119deg and 1.20m for 110deg are good sizes if they are dominican made.
An original 1.20 Prodelin or Andrew will do the job for both, but a dual LNB still does NOT work correctly.
You never know in what direction the beam(flslightspot) of a transponder is, and a transponder hold several channels.
The more transponders you can receive, the more channels you have, so playing a bit with the dish(es) is not a bad idea
For DTV to move the dish a little outside the main carrier can change the amount of transponders you can receive.
The next part is, that your supscription is located somewhere, and that means that your card only will accept signals from transponders , specially for that area.
Furthermore, it is very unwise to tell DTV or DISH that your receiver is outside the USA (and thus illigal).
That is a breach of the contract you made and they are allowed to block your account, sue you and send you a nice $$$ bill.
Telling that you moved to Miami/NY is good (most miami TP's reach the DR), to PR is bad, you will get the Spanish blockouts immediately and reduced access to english transponders..