The AP-200 series recommended operating temperature is 32 degrees (F) - 104 degrees (F) as you mentioned.
For information about the internals of an AP - google "Anatomy of an AP aruba" and you can review the parts inside, but a lot of the AP is made of plastic, so theoretically higher temps could cause components to become damaged.
I think the recommended AP for an environment that exceeds temperature or other conditions would be the AP-228 (up to 140 degrees F) for 802.11ac Wave 1. If that AP continues to have trouble, it may be worth considering swapping for that model.
I would consult your local Aruba rep for more details.