If the povidone trick doesn't work for you, try very gently guiding the tip of the catheter along the tissue just below your little one's clitoris, which will be readily obvious, in line with perineum. As it slides along, you should be able to feel the change in surface when the meatus is reached. As long as your catheter is no bigger than an 8Fr you should be able to pass it. As traumaRUs says, having a good helper really is a good thing. (S)he can often see things a little better from a different angle and can sometimes guide you to where your'e going.
I'm not familiar with the kit you described. We pretty much don't use anything that comes prepackaged as a kit in our state-of-the-art, world class centre of excellence...

We have to assemble all the pieces parts we might need to do a task and hope that we've got everything. Our technique for measuring intrabdominal pressure for instance... we use about $100 worth of supplies that we then have to discard when we're done because there's no way to keep it sterile. Sheesh. Spend a few bucks and get the real deal people!!!