Our holiday to the Verandah last year was also booked with Virgin. No problems at all. I think it would have worked out more expensive to DIY as the taxi's are quite expensive in Antigua and we had transfers included.
It's quite a big laid out resort. They actually have electric golf cart type shuttles to ferry you around between reception and rooms. We had two great rooms close to the main swimming pool yet over looking a beautiful bay. Some rooms are away from the main resort activities, but that might suit if you are looking for seclusion.
We did find the meals a little repetitive in the main restaurant after a while but as a buffet there was always something the kid's would eat. Treat yourself at least once to the a'la Carte restaurant (small supplement but we thought worth it).
Kid's made friends quickly and rather than go to the kid's club did there own thing with other kid's in same age group. The beach attendants used to prove popular with the kids as they would have a kick around with a football or start playing cricket with them.
Just outside the hotel gates to the right is a public beach and a Sandal's hotel. Beach got busy at weekends but lovely to walk down. A few tourist type beach shacks down their for souvenirs. Also, to the left and right a couple of little restaurants.
All in all we really enjoyed the holiday and our stay (you are right about TA - take comments with a pinch of salt!)
PM me if you want to know anything more (as we might get told off for going off topic!)
Hope you have a really great time!
Have done St.Lucia and Barbados before. Off to Grenada in October