Firstly, Alt.Binz will save a copy of autoimported NZBs in the NZB folder unless you have set the option to delete them in Setup > NZB.
Secondly, if you want to try to solve the problem of missing articles from within Alt.Binz, then you should adjust the settings under Setup > Connection, increase your retry attempts and delay between retries, and you should also add a backup server to your primary.
Thirdly, you can write batch scripts to move NZBs around if you really need that - see Execute Command on Completion.
But finally - and probably the main point - if you're using some external software to grab NZBs, you should probably ask the devs what the options are for delaying the grabs for at least a few hours, or only running the searches at certain scheduled times, etc. Perhaps the proggy can be launched & closed as a scheduled task periodically?