Personally I think if your budget is $150 per person per day, that's not a great deal for an all-inclusive and you have to recognise that you're not going to get all that much in this market, where tourism is booming as it soaks up all the demand that didn't happen during the pandemic. You need to understand that of your $150 per person per day, 18% is tax, 10% is service charge, 15% is paid to the travel agent and from the US$ 90 remaining you want a nice room, unlimited drinks, unlimited food and a beachfront location. So if we break it down to, say, US$ 60 for the food/drink element and US$ 30 for the room element, then you're now down to US$20 per meal. If you went to an all-you-can-eat place in the US and it was $20 for unlimited food and drinks, do you think the quality would be good? And remember our food prices are now way higher than the US, have a wander around a Dominican supermarket.
If it has to be an AI, then keepcoming's recommendations are spot-on as far as I'm concerned, the Hyatts are currently the best ones. They are expensive but I've only heard good reports. Eden Roc has also got a great reputation with eye-watering prices, and Barcelo Bavaro Beach is also perfectly OK, they do a lot of conventions there and they have a lovely pool. The Catalonia and Be Live are both much less upscale brands. Be Live can often get full of groups of young people (adults but we're talking early twenties). A friend of mine stayed there and said the food was dire, and honestly he's kind of rough so I was surprised.
I would recommend that you have a look at some of the rental products. Look at renting an apartment through someone like VRBO or AirBnB and you'll find quite a few which are on complexes which have a restaurant and which have a shuttle to the beach or are within a walk of the beach. I would look at Karibo as an example. The apartments are really nice, it's very quiet, the pools are lovely and again quiet as you don't get hoardes of drunk idiots screaming. They have a restaurant on site, but you also have a kitchen so you can either cook or eat at the restaurant and they do a shuttle golf cart to the beach, you just call when you want to come back. Personally I'd far rather be there than in any AI. And this is one of many, there are quite a few of those types of properties in Bavaro / Punta Cana.
Does it absolutely have to be Bavaro / Punta Cana ? The fact that you are on this forum (which is mainly used by people who live in DR) shows you are thinking a lot more about your vacation than 99% of people who go to Bavaro. Would you consider hiring a car and mooching around the island? A mix of all-inclusive and normal hotels in different locations maybe? Would you like to see a bit of culture, a bit of history, eat the freshest chicken you can imagine eating, get drunk and do the merengue with some locals? Sit on a beautiful white beach with literally about 10 people on it? Drive through eye-wateringly beautiful mountains? This country has way more to offer than nasty AI buffets, crammed beaches and long lines for everything that is pretty typical of most AI's in Bavaro.