Graham, there is no shortage of professional, independent-minded women of your age. Plenty who make as much or more than you do, I'm certain.
So, what's the problem? There are plenty of newly minted female engineers, doctors, lawyers, MBA, finance/investment types (what you are also from the sounds of it) around your age of 27. While the docs, young academics and lawyers aren't due out for another couple of years, they are definitely out there to at least get to know. Is your problem that the sort of women you want don't find you interesting? That's not entirely surprising based on your posts. I'd be a bit turned off your mindset based on some of your posts.
Your problem is most likely your looks, personality or some combination of. Not your money.