Definitely register for Elementary Statistics (if you want to DM me the name of the college I can tell you which class it’d be) AND very important have your GC correct your Spring schedule so that it appears on CommonApp and have them contact Carleton with your updated schedule BEFORE THANKSGIVING BREAK
What are the other classes you’re thinking of for this Spring ?
All college classes are not “evaluated” the same by adcoms. And most won’t count at highly selective colleges for placement but they do count for admission and evaluating rigor.
DE classes taught at your school count “less” than college classes taken with college students at the college. So if thr DE classes were at the HS then everything goes up 1 level in selectivity (targets become reaches, etc.)
“Competitive” doesn’t refer to the students but to how college adcoms view your school. Odds are, your school isn’t very competitive in that meaning. Did your GC provide a school profile? Did they ask for a “brag sheet” (a sort of cv to help adcoms)?
Are you the first generation in your family who would graduate from a 4-year college?
Being full pay will help you with need aware colleges.
I think your odds at Carleton are not very good: they want 4 years in each subject, you have ASL not a “foreign or classical” language, you don’t have a 1500+ SAT, your school is not a feeder, so you may or may not make 1st cut.
However taking Stats in the Spring + your As in DE classes will help in general (not taking stats will reduce your odds about everywhere save for Beloit/L&C) and you WILL get into good LACs.
Add a few to your list. Some may have Dec1 EA deadlines.
For maximum geographical diversity boost, apply to Wheaton MA (NOT IL), Agned Scott, Willamette, Whitman, Allegheny, Kalamazoo, Muhlenberg, St Lawrence, Sewanee – then add Mount Holyoke, Macalester, Denison, Grinnell, St Olaf.
Your theater background would be especially appealing to Muhlenberg I’m guessing so I’d add that one first.