Early October honeymoon: Affordable all inclusive with the best beach?

Hi all! My fiancé and I are planning our honeymoon for early October.

We are looking for an all inclusive resort with a beautiful beach (seems a bit hard to find that time of year)! We are total beach bums and hope to spend all of our time by the water. We don’t plan on leaving the resort or exploring much.

We have a (somewhat flexible) budget of 5k (excluding flights) for hopefully a weeklong stay. Any ideas?