In theory, it should not matter where a Polish citizen applies for a visa to the US. However, you do know that you are in the DR where the embassy is very used to saying no.
Please do give the US consul on POP a call before you go through the procedure because it is indeed a very annoying one. Just to make sure there is no problem for you to apply here, etc, etc.
That is the best advice I can give from one "genetic" Pole (me) to a naturally born one (you). Shopping is a very good reason to go. The US needs the money.
The citizen of those countries that need a visa to visit the USA needs to prove the USA consulate that they have enough tie in the country that they LIVE.
dv8 has a greater chance to get an USA visa applying in Santo Domingo than she does applying in Poland. Why? Because if she goes to the embassy/consulate in Poland and they ask her for prove that she has enough tie to return to Poland, she won't be able provide those proves. What prove they are looking for? They're looking to see if she is attending university, if she has a house or a business, or if she has a family (husband and kids). She has none of that in Poland as far as I know.
If dv8 and her husband have a house, cars and a business or other properties in the DR, I don't know if the pharmacy where she works belong to her and her husband, it will be easy for her to get the visa in Santo Domingo. Of course, as she lives in the DR they are going to require her to show her Permanent Resident Card and her Cedula.
If they ask her why she wants a visa to the USA, once she show all her proves that she has enough tie to the DR, she can say that it will be easier for her to go shopping to New York City and Miami every year than to go shopping to London, Paris or Milan.
dv8
But I don't know why you want to go through all the hazards of applying for an USA visa, when as a Polish citizen you can travel to CANADA without a visa. The same things that you are going to find in the USA you are going to find in Canada. You have Toronto, Montreal, Ottawa and Vancouver to choose from. And you can renew your passport in the Polish consulate/embassy in Canada.