The best thing to do to get accepted into CJ is just having a company. You can just go down to your local courthouse and set up a DBA (Doing Business As) for a small price and you'll get accepted very quickly when you apply with that business. They like professional people, they don't think you'll scam em out of a million dollars and they think you'll be serious about promoting products.
Traffic doesn't matter for getting approve into CJ. However, some advertisers might have more strict guidelines that they follow, so that's something to be aware of.
just set up a good looking blog with some articles. also, don´t use a "free" email account like gmail etc when signing up.
Some affiliates automatically approve you if you sign up with them. Others will look at your site and approve you after wards. But you still have to have a relevant site even after gaining approval, because some merchants review their affiliates and expire those that are no longer any good.
CJ is very easy to get approved. The hardest affliate network to be approved for is Google's and Ebay's. Very Very hard.
most poeple are happy to leave websites with no traffic start promoting for them. after all they have nothing to lose and everything to gain