I agree that you will be ok in a new program. Sometimes newer programs are better because you are learning directly from attendings instead of upper levels.
Also in places where they don't have neuro residencies, you will have less Non-sults because the ER, Int medicine and other specialties are used to dealing with them on their own.
And as a first batch, you will stay the upper level for practically 3 years (that means less scutwork!).
Finally, neuro fellowships are not competitive so I think you are good there too.
The only question is - if you actually do want to be a neurologist? If you look at surveys and some of the prior posts- Neurologists are one of the highest "burnout" speciality. If you do not really like Neuro; no residency can make you feel good. Remember, you have to do it all your life!! So waiting another year might be a better option in that case.