If you use the standard calculation of 2 cents/mile, the $60 fee is worth about 3000 miles. So if you charge at least $6000/year on your card, it would seem better to pay the $60 and get 1 mile/dollar rather than save the fee and get 1 mile/2 dollars.
The only thing I've ever seen about getting something waived is that 2P and above have the 50,000 point maximum/year waived.