Cheap Apartments For Rent In Hendersonville Tn . Rent.com® offers 40 cheap apartments for rent in henderson, tn neighborhoods. We found 56 cheap, affordable apartments for rent in hendersonville, tn on realtor.com®. Hendersonville TN US Division of Housing Hendersonville Restricted Apartments in from www.usdoh.org The average voucher holder contributes $300 towards rent in. See 56 houses with cheap for rent in hendersonville, tn, browse photos, floor plans, reviews and more to help you find your perfect home. 4 rows the average home rent in this city is $1,258.