Re: Bloodrager - My problems with bloodrager is that it's spell list is awful and unpolished (compare and contrast lvl 3 and lvl 4 lists) and I'm not sure if the "bloodline" works for the prereq (I guess it'd be a GM call).[Ideally Bloodrager would be my first choice, but they just really dropped the ball on it's spell lists. :( ]
Yeah, Bloodrager spell lists are just awful. But in my opinion, if you want to be an up close and personal fighter with a ton of HP and the ability to up your Breath/Noxious Bite DCs, gain more rage rounds(not to mention having 8 more rounds from class levels than the proposed Barb/Sorc split) and wear medium armor, it's worth the lack of reasonably decent spells if your party has another arcane caster to cover it.
As it is, you'll already be down 4 caster levels if you're going with the proposed split, which puts you at fifth level spells at level 15, which is a bit of a downside for a non-BR build(plus you'll be down a couple BAB).
While you're talking to the GM about things that work with other things, ask if a Robe of Arcane Heritage works with Bloodragers. If not, that's a huge mark against that suggestion. It's a cheap way to add two to your Noxious Bite DC and 4d6 to your breath.