Yes, been in August- out of 10 days we had 6 days of rain, probably 3-4 with solid rain by which I mean it was non stop for 12 hours a day. It was a particularly bad year for rain (also rain before and after the 10 days we were there apparently) and any time of year there you can get unlucky these days though August obviously higher risk. Despite it being less than ideal I might take my chances again if it was the only time I could go (likely in our case as we have other commitments at Christmas/Feb/Easter usually). I’ve also been in March many years ago and had 7 days of pure sun, but it apparently rained the full week before we arrived.
Ive done other similar remote beach/island holidays with a ten month old, when both mine were that age, its fine, just less time sunbaking or snorkelling but that’s life with a baby/toddler. Get a beach villa with a private pool, not the overwater villas as that would be a nightmare with a crawling baby. Most of the resorts have in house doctors if needed and will make you food for baby, you can take some pouches as well and at that age they are happy with bread, bananas, yoghurt etc.