The beads suggestion is a good one. I'd scrub that humi out with soap and water and try to get that greasy glycol off the wood. Someone mentioned not to do that anymore, that was an excellent suggestion.
The taste changes a lot when you keep your smokes down around 60-65 RH. They get musch better and burn issues disappear. I keep creeping lower and lower. I find the cigars just keep getting better and better. I'm down closer to 60 now and I'm enjoying my cigars a lot more.
You asked about the taste difference, I find it's dramatic. When cigars are up around 70%, they all taste a lot the same. Wet tastes wet. It's not very pleasant. The individual flavors of cigars really shine when they're less wet, and the dirty ashtray flavor disappears. Unless you're smoking cc's.