you need to take it really slow. Maybe you can get some 60% boveda packs, or beads and start slow. Make sure your humi is seasoned, but I would recondition your cigars in a tupperware, with the mediums mentioned above. This may take a few months. How many cigars do you have?
first put all smoke in a tupperware with a small amount of room for air, along with a hygrometer. See where you sticks are to start with. If they are only at 50% you do not have too much work to do. If they are at 30% rh, then you may have a longer road in front of you. Then place a 60% boveda pack in there. by using a lower Percentage pack, you reduce the risk of over humidty happeneing too fast. That would split the wrappers. I would use less packs than you normally would in roder to make sure this process is slow. after a couple of weeks see if they have dried out that boveda pack, and if so, add 1-2 more. and again take this slowly.
Your humidor will only take a few weeks to reseason itself. Place a bowl of water in there, and then don't open it for 2 weeks at least. Check the RH, in the humi, get it to 75% or 80%, remove the bowl of water, then let the humi come down to 70%. at that point put what ever type of humidification you are going to use, and let it sit in wait for your re-conditioned cigars.