Howler - I giggled! Your daughter sounds like a delightful person to learn with

Imp, sorry that I cannot help. We were offered a skip from mid-K into first or even second if necessary but decided to home school rather for various reasons. The main one being that it would most likely still be too slow for him, and I am not sure that he would have been thrilled to come to grips with the sitting still and writing loads and then still realising that it's not new work for the most part. I doubt I could've handled the anger and backlash from that...
I'd say mutiple skips will work as long as you can be sure it's into an academic situation where your child will be thriving, not just kept busy but actually learning at the level and pace that they need.