This seems more complicated than what ocean was suggesting, unless I am misunderstanding. One DGAF Twitch account to rule them all seems like it would be simpler (from a viewer perspective) but I'm guessing you probably can't use it across multiple PSNs.
Yea I'm not too well versed in the in's and out's of twitch streaming, however I have seen streamers streaming other streamers streams (say that 5 times fast).
Maybe something like that is an option? Make a DGaf account, and someone can use that to broadcast streams?