| Well, I see two issues of concern to me! One is that the driving to your local office is generally considered commuting, and according to the IRS tax rules this so called commuting mileage is not deductible as a business expense.
Now, the other point you have mentioned is that you do drive a lot and your company reimburses you by providing you with a car allowance and a mileage fee reimbursement.
Therefore, I am not entirely clear how you can claim this mileage expense if your company reimburses you with an allowance. Unless, of course, they do not provide you with a sufficient allowance to offset your expenses. In any event, you can claim the business mileage less the commuting portion but these expenses must be offset against the company's mileage allowance and mileage fee.
You cannot claim for these expenses if they already been reimbursed by your company, only the portion that has not been reimbursed by your company. | 
