For what it is worth, I haven't, and wouldn't, carry either benadryl or a cold pack either. I have handled numerous "crunched" ankles with splinting, elevation, etc. with no use of a cold pack. Frankly, I cannot distinguish between a severe sprain and a fracture in the field, and I don't try...

Benadryl is a medication that is not discussed in most first aid level courses; without specific training, I wouldn't carry it. If I did, it would be for personal use, and not for treatment of others