If there's any pattern I can see with the non-technical founders, it's that some knowledge of coding is certainly nice, if only so the founders can talk to the actual coders. But coding's not the most important thing. The two most important things for a non-technical founder are (1) understanding their market, and (2) closing deals.
Steve Blank (a respected startup expert) proposed a way to prove that you can do (1) and (2): Collect non-binding letters of intent from future customers. These letters should say something like "If you can produce software that does X, Y and Z acceptably well, we would would like to negotiate a contract with you for $1000/month." (See Blank's classic "Four Steps to the Epiphany" for more details.)
If you can collect 10 of those letters, then you should have no problem finding a technical co-founder, and you'll be bringing strong assets to the table.
(The details might be different for your startup. Maybe your product is only worth $200/month, or whatever. But the key point is that you can go talk to customers and close deals.)