Whenever I go back to the US (which is only about once a year), it is specifically for the purpose of bringing in food, typically for Passover or other holidays of my people.
I called the Dominican consul in NY before I attempted it the first time, and it's not a big deal. I once came back with two suitcases, each weighing 50 lbs., of kosher meat/food products.
The rules stipulate that the products must be in their original packaging, it's a good idea if they're frozen (but you can get around that by just putting some picnic ice-packs in with the pkgs to give the impression of frozen), and the whole thing should be wrapped or bagged in plastic. Those big air-sucker bags from Bed Bath & Beyond are perfect.
Throw it all in your checked baggage. You're flying at 30,000+ feet, so everything stays wicked cold.
I once packed a bag, traveled from CT to Newark, waited for 3 hours in Newark, flew into POP, traveled from POP to Sosua, and the stuff in my bag was still frozen.
And if you ever encounter any special "interest," tell them you have dietary restrictions of a religious nature. Guaranteed to end any conversation.