As you know, peds is not competitive, so you will have no problems matching. I honestly don't think an away rotation is really necessary unless there is a specific program that you really want to go to and get yourself an "in." But with your research background which is better than average for a peds applicant, I suspect you would get a look from a few of the academic programs that traditionally would target applicants with higher Step 1 scores. Where is your current school and what is its general reputation?
Moreso than the NICU rotation, I would try to get a peds sub-I and step 2 done in the first few months of MS4. If you can honor your sub-I then I think that will go a long way to outweighing the pass in your clerkship, and obviously a bump in step 2 score would be nice. It's hard to recommend specific programs; other than true top-tier programs like CHLA, I honestly don't think the step 1 score is that big of a deal, and even with that score I think there is enough uniqueness in your research and story that you could get some interest. You just have to apply broadly because it's impossible to know which programs will get "hooked" by your story. If you apply to a range of programs I suspect you can wind up in CA.