Are you sure it's 35% ? I've found those cheap digital hygrometers to be off by 10-15%.
I bought a box and some say 10 and some say 20. I ended up buying several different brands and price ranges of hygrometers to try and figure out which ones were correct.
I use cereal boxes with desiccant and without any active dehumidifier they stay at ~25% despite being frequently opened and closed. So like others suggested, put a large flow-through bin of desiccant in and forget about it.
Also is that a compressor dehumidifier? I suspect it's a desiccant wheel because it's so tiny.