My son has a lot of problems with foreign languages. Other than that he has an excellent academic record, including impressive performances on some academic competitions. We homeschool, and I gave up on language at the end of the 9th grade. On his transcript I counted him for 2 years, including 8th grade. We were sort of assuming he would get into either Caltech or MIT, neither of which require languages. He did get into those schools EA. He also applied to UCLA, UCSD and UCB, all with entrance by exam, and he got accepted at those (though, oddly he got turned down by UCSC)
Since he got the EA acceptances, we do not know how he would have fared at some of the other schools he was planning to apply. I can tell you about a conversation I had with someone from Princeton. I explained the situation. She said that it would not keep out an otherwise qualified applicant, but he would be required to gain mastery at Princeton. When I asked what that meant, she smiled and told me he would have to pass a year of language class.
I think language might be the most flexible of the suggested requirements of a college, and you should not stop from applying to schools that you are otherwise a good match.
If I had it to do all over again, I would have had him do Latin - great alternative for someone who does not do well in languages, since usually the problem is a reluctance to speak it, and latin is more of a reading/translating experience.