@am61517: My initial reaction after reading the OP’s first post was that s/he would benefit from a demonstration of quantitative proficiency in a standardized form. The OP then subsequently posted (#7) that her/his research (with help from Mom2aphysics geek) found that at least a few schools would accept A levels as a substitute for all common standardized testing. This would create a pool which would include both test optional and test flexible schools, and which would no longer be extremely limited to just one or two suitable colleges. (However, @Britstudent, Hamilton does not appear to appear to accept A levels, and does require a quantitative demonstration.)
With respect to what constitutes elite, the OP is looking for a rural college (as stated in a parallel thread) with a great English department. A few of the ultra-competitive schools mentioned may not satisfy this requirement, so the OP would not necessarily benefit from having them all as options. I concur, though, with your general – and inforned – perspective, and its implication that having more options is generally better than having fewer ones.