Can I charge my corp mileage for use of my car, instead of entering CCA/expenses? Ex: CRA rate 55 cents for 1st 5k. If I drove 5K, corp pays me $2,700 - tax free.

I'm missing most of my fuel receipts, and I've heard I can just bill my company for mileage instead of the complexity of CCA/expenses.  2nd Question - If I have a choice, is one clearly better tax wise than the other?