OK, here's the straightforward info:
You won't be able to get "networks" unless you have a New York billing address. New York locals (some, not all, but all major ones) are on CONUS on 119 degrees satellite. You will need to pay for local channels I think it's 5 dollars a month.
You won't be able to get legal system in the DR. You can buy one legal online on ebay with prepaid service (Dish Flex) and have the receiver shipped to your Miami address (one of the freight forwarders). Once it gets to the DR, you create/activate account with the New York, NY address and sign up for electronic billing.
Other option is a private server DN service, which will cost you less just after 3 months of service. Private server has all New York locals that are on CONUS on 119 satellite, plus some PPV every day for free.
In both cases you will need to buy the physical dish, LNB and cabling in the DR and have local installer perform the installation ($).