1. say what your idea is. Or at least the sector / problem you are addressing.
2. say what technology set you are using. You say you are currently getting a 'prototype website' built, so you have a stack - what is it.
3. as you aren't a technical founder, are you a domain expert (i.e. if the product is, say, financial services related, then presumably you have would have a track record in this sector). If so, then big up yourself.
4. Be positive. This whole post is (to me at least) far too negative. From "shotinthedark" and "slim to none", to your story about the web agency dropping you. Full marks for being honest, but presentation counts for a lot and again if you aren't the technical guy, you need to be the 'hustle' guy and that means everying (every email, chat, etc) needs to be +ve!
As for finding a technical co-founder it is definitely possible (I've done it a couple of times). Think of it as pre-qualifier for having a shot at further challenges (funding, getting customers, etc). If you can't convince one person to work on your idea, then something is seriously wrong. Especially if you have some funds (given that you are paying a developer and designer, you must have at least enough for covering someone's basic living costs).
If I were you I'd delete this post, and rewrite it as a compelling story about why someone should come work with you. You must think you are on to the opportunity of a lifetime - so "tell them about the dream" (to quote Mahalia Jackson).