You cannot manage this information at a bin level, but if you use inventory status you may be able to control what is "available" to get what you want if the product is only fulfilled out of one primary bin at that location.
In this scenario your quantity backordered would indicate the amount of inventory you need to be made "available"/transferred in (controlled by status, and only in that status for that fulfilling bin).
https://netsuite.custhelp.com/app/answers/detail/a_id/70244