Houses And Apartments For Rent In Shasta County . This browser is no longer supported. The average voucher holder contributes $400 towards rent in shasta county. 7764 Shasta Dr, Indianapolis, IN 4 Bed, 2.5 Bath SingleFamily Home from www.trulia.com This browser is no longer supported. On average, section 8 housing choice vouchers pay shasta county landlords $500 per month towards rent. See all 22 houses in shasta county currently available for rent.