You might be right about this MU being unwinnable. However, I find those decks highly inconsitent and my guess would be that you nee to nuke ther Brainstorms with REBs. If that's not possible, aim for their S&T.
I finde that Angel of Despair is a horrible SB tech against them. If you want to have this kind of S&T target for yourself you should either pick
Confusion in the Ranks (which is slightly more likely to be castable :-D) or (what I find even better) Stingscourger. This boy does the same job as Angel or Despair with the benefit that (1) he's tutorable/net-able, (2) can be pitched via Vial (which is mouch more unlikely with Angel of Awfulness) and can be cast more eaily in other MUs, whch might give you the time to do so (like MUD or Reanimator).
I might be missing something, since Angelika has been discussed several times in this context - if so, please tell me what her benefits are in comparison to Stinger.