I think you have a decent chance. I teach high school in Texas and my child graduated from Rice. I just finished the rec letters for two of my students, both have similar stats as yours - not tippy top among the applicants but way above their peers (in our title 1 campus).
That being said, last year I wrote two rec letters to two similar students but only one got in.
AP precalculus was first administered in 2024. Our school first offered it last year.