No one can “chance” you for schools like Princeton and UChicago. You are a strong applicant - but there are there are tens of thousands of strong applicants, and those schools necessarily turn down a lot of them because they don’t have space.
You probably will get in to one or more of the schools on your list, but you can’t be sure. You need more schools that are just slightly less selective than the elites. Right now, Kenyon and (maybe) UVa are the only ones you have on your list, and both of them are very selective too. Broaden your search.