So after inspecting the plug for the Battle Tag sensor harness, it's become abundantly clear that I'll need to fabricate/replicate a housing in a Laser Challenge vest in order for this to work. Here are shots I've taken of how the assembly works.
The plug is unlike anything else we've seen. While I could technically put a different plug on there to be used with other equipment, I would rather not tamper with a $130 system and, instead, modify other equipment to use them by making an adapter for them. Essentially, I want to replicate the housing that the T-Blaster has where the sensors plug into. That'd be the best way to do it I think.