You don't need a CBSE for most, if not all, noncat positions.
It is often listed as optional.
Have the following ready and email them to the program director or coordinators after match:
-personal statement
-updated CV
-NBME pass
-dental transcripts
-undergrad transcripts (if asked, have it ready)
SOME programs ask for letters of rec so check each school's website and either avoid those programs or have letter writers prepared to send the letters to the program
interviews start after match and post match, but even if you don't get one then, dont worry. Positions are always available, it just may not be at the program you desire. If you really want a certain school, you should contact them in advance or visit their website so you're ready. Also my genuine advice is choose schools that heavily favor their noncats. Once you learn the ins and outs of a hospital after a noncat year, the transition to a cat is SO much easier.
I really would avoid residency programs that don't favor their own. There is usually a reason for that. Residency programs that favor their own noncats means in general noncats are provided with good/strong training, and they know that, which is why those noncats are favored as applicants (assuming the noncat has good grades, a good CBSE, strong work ethic, etc)