It’s very tempting to start your search from a perspective of “How high can I reach?”
But the thing is, you can’t really know, at this stage, how high to aim. You can, on the other hand, identify some affordable and attainable safeties that would offer a good fit in terms of academics, environment, and “vibe.”
As just one example… University of Utah has a top-notch match department (which consistently sends its best students to top grad fellowship programs) and a terrific Honors College (with its own housing and great programs such as Praxis Labs, and an Honors version of the math major) There may be no better school in the country for an avid snowboarder, and the music ensembles are also top-notch. As an AK resident, you’d get the WUE discount as a baseline, and likely an additional merit discount.
That’s just one example… but safety schools you could be happy with should be the foundation of a good list, not an afterthought that’s tacked on after years of focusing on “T20’s.”
You seem as if you could have a shot at most schools that would interest you, and it definitely does help to come from an underrepresented state.
When looking at smaller schools, pay attention to what advanced coursework they offer, and how frequently those advanced classes are offered. You’re quite accelerated in math, and could run out of coursework at a smaller school if it doesn’t have grad programs. There are exceptions, though, such as Wesleyan, which has only about 3000 undergrads but has a math PhD program.
Another question to consider is whether you’re sure you want a math degree, or whether you might end up wanting the option to study engineering (industrial/systems engineering, for example, can be very math-y; check out Georgia Tech’s top-ranke ISYE program for example), or something in the math/business overlap like CMU’s Computational Finance program. (Math is excellent across the board at CMU, whether with a business component or not.) You’ll want to make sure that the school you choose doesn’t limit your options, so it would be good to explore whether you want more specialized programs like engineering and/or business to be available, or if you know that a strong math department at a more liberal arts type school would meet your needs.
There are some top-tier math departments at Canadian universities, and these are more like the UK system in that a higher percentage of your time is spent on your major vs. breadth requirements. Would that be a plus for you, or no?
Plenty of time to explore ideas, so take time to think about what you are seeking in the abstract, before getting too caught up in the brand-name prestige arms race.