If you're not a hacker and you're trying to start a business that requires a lot of hacking from the outset (such as anything computer-related), you're going to have to let go of the idea that this is going to be "your" startup. The beginning or a company's existence is the most risk-laden period, and it's also the period where the value you can provide is far less than the value the people actually writing the code will provide. You have to convince hackers to come on as co-founders (not employees), and compensate them accordingly.

The other option, as others have suggested, is to learn to code yourself. I doubt that you'd be able to do a good job of coding something up yourself without anyone with formal computer science training backing you up, but learning never hurts. If you know that starting a tech business is something you want to do someday, I'd say you should start learning how to code now. Personally, whenever a non-hacker tells me about something they want to start, I can't really see what value they're bringing to the table. Most ideas aren't that original (and don't necessarily have to be to be successful), so if they can't actually make the product, what good does working under them do for me? Business-types are definitely useful, but not until there's at least some sort of prototype.

I've never actually done a startup myself, so this is really just my personal intuition of the way things should work.