That high I don't know.
I know of at least one person from a mid-tier state medical school, board score of 190 on step 1 and a bit lower on step 2, not nearly AOA (high pass in peds, no honors in clinical rotations), 1 research publication, good LOR's from average-known people, and he got interviews at all the NYC programs (Columbia, Sinai, etc.).
He did an away rotation at Columbia, and maybe this helped to get the interview there. But peds is far more considerate of who you are, even in the top programs, except for maybe places like CHOP and CHOB. However, you will get considered for all programs, and if you are a US grad, I think it will be stupid for you to just apply to "ghetto" programs. Peds is one of the more non-competitive areas and most programs will read every application they receive. Not only this, fellowships aren't necessarily as competitive as they are in other areas, meaning that some of the "lower-ranked" peds programs have pretty good fellowship placement.
Look at the facts for yourself though. Top 10 for peds generally falls in line with that of the medical schools, though there are exceptions (Rainbow in Cleveland, for example, is an excellent program). There are also US News pediatric residency rankings based on program reputation. Also talk to your school. If you're a US grad, you should get in to one of your top 3-4 choices, unless you failed a bunch of things (Step 1, peds, stuff like that).
The top peds programs are more difficult to get into, but I wouldn't be discouraged from applying if you have pretty good scores, etc. You do NOT have to be the top person in your class though, like the previous post makes it seem.