TJ:
I'm not sure I understand who the "they" is in "they would not look fondly on our business being located off US shores", but we do have an internet based business we operate from the DR - though our business is still technically based in the USA.
The biggest thing to think of before relocating is the speed and reliability of internet service here. There are lots of posts if you do a search for "internet" on the forum. I can tell you that is is NOT as reliable and NOT as fast as the US no matter what the services themselves will tell you. Power goes in and out about once a day minimum and hence internet goes down as well. The fastest speeds available here (Sosua/Cabarete) are 768 - 1.5 MB download speeds but run slower in actuality.
Bottom line, if you have patience and flexibility you can run a business online from the DR. If you need instant downloads for something like daytrading in the markets - forget about it.
Best of luck!