Congratulations on committing to a composting toilet!
I live in India, with composting toilets at our school, so I am very familiar with precisely your issue. At our school even without any people from the plains of India using water, we just have an increasing population at our school every year, and the toilets have been getting too wet. When we have a lot of Indians (from the plains) staying at our school, and if they all use water, the smell changes to something swampy. We do use sawdust, and our climate is extremely dry, but this happens.
We don't have any kind of active ventilation or drainage in our
humanure pile down there. If we did, I think it would mitigate this problem. Also, our manure chamber below the user's room is kind of huge, and I believe that if fewer people were using such a large manure chamber, there would not be much problem. Our system has two large manure chambers under each user's room, so we have an alternating year system, where we remove the manure after a year. We don't carry buckets or anything, just
poop right down the hole onto the manure pile, and throw a shovel of sawdust, dry earth, or leaves or whatever down.
If you can't add active ventilation or passive drainage, or a huge manure chamber, you could reduce moisture by peeing in a container and taking it outside to the
compost pile or
trees or mulch basins. And really, the thing to do is just to start using your composting toilet, and if it smells swampy or there is some other problem from the excess moisture, then take steps. But who knows, it might just work fine as is.