This was part of my honeymoon - the part I would 100% recommend. Go to Biras Creek on Virgin Gorda. It's a super lovely resort but with none of the fussy, pretense you expect. You get your own bikes and a motor boat to explore the extensive grounds (50 acres) and the northern sound with deserted islands to land on. Most of the time you don't really notice otehr guests - except at dinner when the food is so unbelievably good (seriously - michelin quality every night) that you don't care.