Austin-- We did the same, but only actually visited the two private schools that said yes, they sometimes allow early entrance. If no schools had said they allow early entrance then I think we would have had to visit the other places without telling them why up front. This way at least separated the places with experience with and procedures for early entrance from ones we would have to fight for it.
After observing and testing DC4, they had him come in for a second round of testing and are single subject accelerating him to first for math and reading, though he tested at 3rd. It sounded like that's an initial placement and if he needs they will be amenable with working with us for higher skips if this one works out. We're hopeful. But this is the only school in town that really seems to understand why acceleration might be necessary. The other school that allows early entrance was eager for our business after hearing about DS but the kids were bored and the teachers didn't even understand the terms we were using regarding differentiation/acceleration (the admissions director had to translate).
To be honest, I'll be more comfortable with higher level skips once he completely stops having pee accidents whenever he gets distracted with learning new stuff. In K and 1st he won't be the only one!
DC's Montessori also ran out of stuff for him on reading and asked us to bring stuff in, which I thought was bizarre... they also seem to not be aware of his math ability which is a bit disappointing since my little sister's Montessori had her entire class doing addition, subtraction, multiplication, place value, sets etc. before she got to elementary school. But they were doing a great job with science, social studies, art history, practical living etc. so we figured he could finish the year.