Congrats on your destination wedding!
My fiance and I are getting married at Dreams La Romana next November - 2012. We also visited - this past July - and we LOVED it, its absolutely gorgeous, and the staff is amazing.
We took a direct flight to Santo Domingo - the drive is only about and hour and 25 minutes, its not 2 hours - and it really isnt a bad drive at all, seems much faster.
JetBlue is starting direct flights from JFK airport in NYC to La Romana this November - so you will be able to fly direct from there. You can get direct flights into La Romana now, but they are a little more expensive and less frequent (I think its American Airlines).
Also, La Romana is almost 1/2 the price of Punta Cana to stay at, so this is great for your guests. The reason its less money is because the resort is newer, and La Romana isn't as much of a tourist area as Punta Cana. Its gorgeous in La Romana - the resort is surrounded by jungle, and is on the Caribbean Sea (Punta Cana resort is on the Atlantic). Theres a huge reef right at the beach in La Romana to the one side, which is beautiful.
The La Romana staff also deals with less weddings - about 350 a year, where Punta Cana does over 600. Our wedding coordinator at La Romana told us its much more personal at La Romana because of this.
I havent been to Dreams Punta Cana, but I have also heard wonderful things about that resort - the staff at all of the Dreams resorts are unbelievable, so you can't go wrong at either one - Dreams La Romana was just our favorite and the best fit for us!
Good luck with your planning & let us know what you decide!!