Keep in mind that addresses get normalized and also it's ultimately down to the mail carrier to deliver something. So you might be able to alter the mailing address to have it recognized as something different to Amazon but still practically the same for carriers. Or maybe ask your landlord to re-number your unit or let you use the leasing office as your address.
I would be very suprised if Amazon didn't have a very sophisticated address normalisation process (in Australia, there are several pieces of software that can process generic user provided addresses, and return a specific delivery ID ["DPID"] that ties to an explicit delivery location).
I've tried that, as well as different addresses, but now it appears I am tainted for life in Amazon's eyes, as is my gf. Honestly it's really annoying.