Are you talking about the Auto Play in Windows (and if so which version) or something in BIAB. You said in the original post that you boot up BIAB and then plug the usb drive in. What happens when you just plug in the usb drive without BIAB running?
If you are talking about the Auto Play in Windows, then if you do the right click routine there should be a check box to tell it to do what you want every time, so if you tell it to do nothing, it will always do nothing. The usb drive will still be available in Windows and BIAB but Auto Play won't pop up. Auto Play in Windows exist to let you have the option(s) of what you want to do when you insert a usb drive, a cd or dvd or any other removable media format. It can be globally turned off if you want, but the right click method still works.