HOLD THE PRESSES
There is the option of flying to Santo Domingo, which is 75 minutes from the resort. Fares are typically cheaper and you will pay more for shuttle than from La Romana (as long as there are 2 or more, from Santo to Casa is 38 each way vs. 15 from La Romana). John, to your question from New Orleans, I am showing a flight through Miami for $500 US (364 for a more circuitous route).
I would suggest that people flying to Santo Domingo (SDQ) at least coordinate with one other as the shuttle prices are as follows:
1 - $70
2-4 - $38
5-10 - $32 each way.
I remind you that relative to regular destinations, you will be saving the cost of the rental, for what that is worth.