What about Wayne Enterprises? They've been consistently good recently, even while Bruce had vanished for years on end doing his Batman thing the company just kept chugging along. I think it would be safe to go with Wayne Enterprises, although I've not read the comics, so if anyone has any information on why this might be a bad idea, let me know so I don't blow my billions of imaginary dollars on a hopeless cause.
EDIT: NEVER MIND! Apparently Wayne Enterprises bought out LexrCorp when their assets were liquidated.
(From Wikipedia)
"Wayne Technologies, also known as WayneTech, is the biggest division of Wayne Enterprises. It is involved in the retrieval and research of alien technology. Its main rival was LexCorp before its assets were liquidated and Wayne bought them out. The subsidiary is sometimes used by Batman as a means to acquire new technologies, or to use the medical facilities."
So, Stark kinda wins by default anyway because LexCorp doesn't exist any more, it's part of Wayne Enterprises, now. Interesting.