Someone else in this thread linked to https://www.nuscool.com/our-technologies/ which looks like a combination desiccant dehumidifier and an evaporative cooler. That may be a more efficient alternative, depending on the lifetime and maintenance of the desiccant.
Plus, you'll eventually need cooling or heating; a heat pump is as efficient as you can get. Many AC designs control supply air humidity by dumping excess water with exhaust air (when cooling), or pulling it from intake air (when heating).
The more I look at it, the more I consider heat pump ACs to be a miracle in a box. They're a good default.
They are! If you need heating and cooling, a heat pump AC is fantastic. We just need to make building design more efficient so you need to run it less frequently. But look, even switching most existing heating/cooling HVACs to heat pump units would be fantastic. There's a lot to do.
Also, AC units double as fans when the compressor is off.
I bought a portable AC this summer, and it's a night-and-day difference in quality of life (particularly for my pregnant wife and my 2yo daughter). Pre-AC, July was mostly unbearable, with temperatures around 34°C during the day, dropping below 30°C only around 20:00 or later.
Last week we had some cooler days (~24°C), so the compressor in the AC stays off most of the time - running the unit is just like running a fan, except I get to duct the exhaust and intake air with flexi-pipes, making it possible to create patterns of air flow that refresh the air in the whole apartment.