I've stayed at seven different AIs on the island now. Occidental is what you are after if you are looking for an inexpensive AI that also has a beach. We typically stay at Fiesta Americana or Explorean (Palace is also good) but none of those places are budget friendly these days. I would look into the Royal level upgrade at Occidental, if budget allows. This upgrade allows you to always eat a la carte (otherwise you will be in the buffet line 3 or 4 nights and the food at the buffet isn't great imo). It puts you in a separate section of the resort with separate check in/out and a concierge (we used only to book the a la carte reservations). You also get access to the best a la carte restaurant that they have and you can eat all your meals there if you choose.