Broadband Stock Acquisition in Local Exchanges Act or the Broadband SALE Act This bill allows an exclusion from gross income, for income tax purposes, of gain from the sale or exchange of the entire interest in a wholly-owned rural incumbent local exchange carrier. A rural incumbent local exchange carrier is a carrier that serves (1) an area where it was required to provide communications services by a specified date to any customer regardless of cost, and (2) an area other than an urbanized area with not fewer than 50,000 people and a core where there are not fewer than 1,000 people per square mile. The bill requires recapture of tax for income from the sale or exchange of stock in a carrier not held for at least one year. The bill allows an investment tax credit for 30% of expenditures to purchase, maintain, or improve property to provide voice telephone service or broadband internet access in rural empowerment zones.