Stokes, if
a) you are ok taking the risk that not all kids get in and you have kids at two schools (you're going to be doing it next year with a 6th grader anyway, unless you get them all in to a PK-8 school like Inspired Teaching)
b) you are interested in sending kids to DCI...because even if your 5th grader doesn't get in to Stokes this year, I believe she'll still have sibling preference for DCI next year.
c) your kids can handle bilingual school.
Burroughs is a good school in many ways--it was a BOLD award winner in 2023 for how well it serves at-risk kids
https://www.empowerk12.org/research-source/2023-bold-performance-report
If you said you were going private for middle school, it would probably be worth considering. And if you don't get all the kids into Stokes, spending a year at Burroughs is not a bad thing.