It’s very, very common for international applicants to be accepted nowhere on the first try. The second chance only happens if they have $25,000 (and considering it can be ten times an annual salary in most emerging countries, it’s rare). But imagine TheZealot has $25,000: there are some excellent colleges that will have calculated yield wrong and will have spots, sometimes with financial aid. The list will be published by NACAC on the 4th or 5th of May.
TheZealot can also apply right to Hendrix, and EXCELLENT school but lacking in applications due to its selectivity (the students must be strong) and location (Arkansas).
https://www.hendrix.edu/