Not sure its really worth it or if even it can work. You only get the 2 triumph badges when using the random dungeon tool, and I don't think you can actually invite people when in that mode -- only re-queue. Plus, assuming it takes around 3 weeks (only 7 days for those really trying) you are talking about 42 triumph badges, which you can get in 4-5 hours at 80 queueing your entire team.