Driver Reimbursement Increase for Veteran Equity Act or the DRIVE Act This bill increases the mileage reimbursement rate available to beneficiaries for travel to or from Department of Veterans Affairs facilities in connection with vocational rehabilitation, required counseling, or for the purpose of examination, treatment, or care. Specifically, the bill makes the reimbursement rate for such travel equal to or greater than the mileage reimbursement rate for government employees using private vehicles when no government vehicle is available.