My stash stays in the basement as well. The temperature is always around 65-68 down there. The humidity can get a little high even with two dehumidifies during these summer months. The beads are fail proof. I think I've sprayed them with dw maybe twice this summer. They are the best because they will work to maintain a constant rh by releasing or absorbing the humidity, whichever is needed to maintain a constant rh. The unscented crystal (silica crystals or beads) kitty litter does the same thing but maintains an rh between 67-69 depending on how much water you add. The beads are better, but not much IMHO. You can get a ton of the kl for cheap until you can get the beads. Sounds like you need to get some and add it dry so that it will absorb the access.
The gel, no matter how great its advertising makes it sound, will only add humidity. I leaned this the hard way as well. I cannot tell you how many shop employees have tried to tell me the gel absorbs and releases. The pg solution tries to maintain 70 but if there is a build up of humidity it cannot absorb the access.