freaking out about crying babies? not on this island!!
I await reviews on this establishment myself...
I'm sorry I can not address the original question regarding crying babies. I'm unsure of what the hotel's clientele will be like during your visit. However, I can recommend the hotel in general terms. Several of my friends have stayed there, and they have enjoyed the ambiance, location, and service.
From what I have heard, they are reasonably priced and the rooms are clean, although perhaps a tad small.
Another option might be El Rancho Hotel. It is closer to Playa Alicia, within easy walking distance (maybe just 100 meters away), and it is also very nice and clean.
Another option would be Casa Marina, which is located right on the beach. Casa Marina might be the best option for young children. It is perhaps more family oriented than the other two.