Algebra II is perhaps the most important since it is the basis of future work. So I would not skip it. Geo is a good one to skip. It’s the easiest but might be challenging to learn online depending on how you learn. It’s pretty hard to get from Geo to linear algebra.
I think you should initially focus on doing really well in math and then decide in conjunction with your advisor and math head what your path should be. Honestly, you might think that taking linear algebra in high school is important for some reason but there are many kids at BS who start in Pre-Calc/ Calc in 9th grade. Some are really advanced so you’ll be with them. That’s not an issue per se.
I have two mathy kids. One does fine (A’s with no real effort) but has no interest in taking pure math. So taking advanced math classes will be weighing what’s the best thing to take given all of the choices. You’ll really have a better picture after you have been at your school at least a year.