There are two potential issues at that temperature range. Mold growth, simply because its warm and humid, and tobacco beetle larve. The send one you won't see until it is too late. Most manufacturers freeze their sticks prior to shipment from the factory, however that is not always a guarantee. Some people freeze any new purchases at home prior to putting them in their humidor to further help prevent a beetle problem, other simply keep the temp and humidity low enough that they are not likely to hatch.

Many people find a lower RH for storage actually helps the cigars smoke better. This is especially true for any cigars with thicker wrapper leafs.