In reply to the OP, my kiddo did AoPS PreAlgebra, then Ch 1-14 of AoPS Intro to Algebra. Kiddo then tried out the LPS, where it turns out "Algebra II" is largely a repeat of material covered just in AoPS Chapters 1-14. Kiddo is likely to return to homeschooling next year and, despite not being 'mathy', is looking forward to returning to AoPS because it explains why things work not just how to do it.
Last year when we were frustrated with our slowing pace through Intro to Algebra and with the LPS math placement test looming, I was grateful when someone pointed out the sequencing the the AoPS material. In their own class sequence, they repeat Intro to Algebra chapters 10-13 in two courses. Those chapters are really dense!
Introduction to Algebra A - Introduction to Algebra, Chapters 1-13
Introduction to Counting & Probability - all of Introduction to Counting & Probability
Introduction to Number Theory - all of Introduction to Number Theory
Introduction to Algebra B - Introduction to Algebra, Chapters 10-22
Introduction to Geometry, then Intermediate Algebra, etc