Your main issue is your cummulative GPA. Colleges will see that you are only allowed to take two AP classes. So take two APs, get As and ace eveything else. Your GPA will matter more than what AP classes you take. You should ask your counselor to mention your anxiety issues and what caused them, so that colleges will have context as to why your grades were low. Your counselor should stress that your anxiety is now controlled. You won’t be penalized for what is beyond your control, in regards to the limit on how any classes you can take.
If you think you will enjoy stats, take stats. Colleges are not going to shake their heads and think “this person ONLY did AP stats, why didn’t they do physics instead.” If you are interested in it, take it. Stats is very useful for all kinds of things. An AP class is advanced. It’s a college-level course. It’s as legitimate as any other AP course. But if you can’t take the test, then I see no point in doing it, tbh. Make some enquiries as to how you will be able to take the test. At our high school, studetns can take any AP test they like, even if the school doesn’t offer it, but I don’t think this is true of all schools. Ask your counselor.
You can’t undo what’s happened. Don’t cause yourself more stress by knocking yourself out to make up AP classes in the hopes of impressing colleges. Find colleges where your grades and test scores ensure that you have a reasonable chance of getting in. It’s better to be realistic about this and find colleges where you can thrive and rise to the top. Don’t let yourself be swept up with dreams of tippy top colleges and all the stress that goes with that. Just a couple of weeks ago there were many kids posting about how they worked all their lives for their dream school, they applied to lots of reaches and only got into their safety, or whatever. Don’t be one of those kids. Find realistic choices for reach, match and safety schools. That doesn’t mean applying to twenty top schools in the hopes that you will get lucky. It doesn’t work that way because it isn’t a lottery. Work with what you have.