Went to St Lucia for honeymoon in 2007.
Stayed in Ti Kaye Village.
http://www.tikaye.com/
If you want the following:
No Kids
No TV,Cell Phone, Internet
No Drunk college kids
No Club "insert name"
but want..
Private beach
Awesome food
Quiet Atmosphere
Incredible staff
Then Ti Kaye is the place. We rented a Ocean front cottage. Got massages daily, relaxed on quiet beach, snorkled. I brought my own cigars, and smoked heavily. Every night we ate at the fantastic resturant there, had desert/drinks/smokes listening to steel drum band, then went back and hung at the cottage, and ended up falling asleep to the sound of the ocean.
I am not a fan of spring break style get-a-ways. After the wedding, all we wanted to do was relax in a beautiful island setting, thats exactly what we got. No people asking you to buy stuff on beach, no over priced rum concoctions, nothing americanized.