Can anyone tell me if there is a place similar to this?

Four to Five star All-inclusive with room service.
Individual rooms (no high rise) right on the beach
Children (infants) welcome
Nice beach with Turquoise water
5 nights under $5000

Please let me know if this exists! We do not want to rent a car or shop or gamble or engage in any nightlife. Just sleep, eat, read, & swim.

Thanks in advance for any advice.

First of all, there aren't very many 4-5 star all inclusives in the Caribbean. But, there are some:

1) Jumby Bay, Antigua (www.jumbybayresort.com)
2) Peter Island Resort, BVI (meals included but not drinks)
(www.peterisland.com)
3) I think the Ritz Carlton in Jamaica has a meal plan that you can do. (www.ritzcarlton.com/resorts/rose_hall_jamaica/)

If you're going in the summer months, try The Cape Santa Maria resport on Long Island. www.capesantamaria.com. Also check out Turks and Caicos - the Sands - or other Grace Bay resorts. Lots of turquoise water and beaches!

check out "THE REEFS" IN BERMUDA IT IS A SMALL INTIMATE RESORT NO CHILDRENS PROGRAMS THOUGH. THE ROOM RATE INCLUDES BREAKFAST, AFTERNOON TEA AND GOURMET DINNER EVERYNIGHT. IT WAS AWESOME. HIGHLY RECOMMEND IT. DOES NOT INCLUDE BEVERAGES THOUGH.

Try checking out Moon Dance Villas in Negril. They have various size villas with your own cook & bartender. They fix whatever you want to eat & drink. My sis-in-law went with her family & raved over the stay. The staff was wonderful & would watch the 2 little ones while she walked the beach with her husband. I believe the kids were free since they were very young. They paid a bit extra for all inclusive but said it was well worth every penny.

These relatives are very seasoned travelers & he works in the food business so they LOVE good food. The villa was right by the beach & very private. Go to www.moondancevillas.com to see what they offer.

Have a great time wherever you go.