Chris,
Not too sure about the kids facilities ( as not got any ) but if you want a reasonable priced All-Inclusive you could try the Jolly Beach Resort in Antigua. Its not flash like some of the resorts and has usual buffet style breakfasts and dinners however you can use the restuarants on site generally at no extra charge. It is on a nice quiet bay and if you want to go into the town you can catch the local minibusses ( an experience in itself ). We've paid between USD 60-80 pppnt before.