You might find a Princeton Review sampling, “Great Schools for Mathematics Majors,” to be a good resource for this stage of your search. Recommended colleges include Harvey Mudd, MIT, UChicago, Caltech, Amherst, Hamilton, Williams, Bowdoin, Haverford, Pomona, Reed, Harvard, Brown, Rice, CMU, Carleton, Grinnell, Macalester, URochester and St. Olaf.
So all my “safeties”. 
Joking aside, does anyone know much about St. Olaf? I heard they do indeed have a great math program but I’ve never actually heard of them. Anyone? Anything?
St Olaf apparently does have excellent math and has some connection with the Budapest Semester in Mathematics? Someone here on CC shared this analysis (I don’t know over what time period):
Number of Math PhDs Earned by Alumni of LACs:
58 Harvey Mudd
33 St Olaf College
33 Williams College
28 Carleton College
25 Oberlin College
25 Reed College
23 Pomona College
23 Swarthmore College
16 Whitman College
15 Wheaton College (Wheaton, IL)
14 Bryn Mawr College
14 Furman University
14 Haverford College
13 Amherst College
12 Davidson College
12 Grinnell College
11 College of the Holy Cross
11 Lafayette College
11 Macalester College
10 Bowdoin College
10 Bucknell University
10 Spelman College
10 University of Puget Sound
9 Bates College
9 Colgate University
9 Lawrence University
9 University of Minnesota - Morris
9 Wesleyan University
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They’re very good for math. About 3,200 students (large LAC), lots of music, nice campus on a hill, walking distance to college town, 45mn to Minneapolis st Paul. Well respected in the Midwest, known nationally for math and music.
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Instead of Univ. of Oregon, look at Oregon State University. That is the flagship STEM university in Oregon and it is very impressive. My S21 was admitted there and with their merit aid, it is within the same price range as the two private schools (with merit) he is considering. We are also from TX. Their programs are very impressive, Corvallis is a great college town, they have a 4 year guaranteed graduation. For STEM students in the PNW, Oregon State has a much better reputation than UofO.
In considering where you would match by personality, note that a single LAC may enroll a variety of types of students. You might find this comment (see full interview, below), from a professor who has taught at several LACs, suggestive of where you might fit:
Nonetheless, as you seek to understand the atmospheres of various LACs by their differences, you might consider their levels of varsity athletic participation. This will vary from that of, say, Williams, near the high end, to, for example, Reed, at the low end. Then consider whether an aspect such as this might be essential to you, or whether you could find your place across a range of colleges.
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This analysis must include only small colleges. Princeton and Harvard send many students on to math PhD programs every year.
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Oh yes, thank you - apologies for leaving that out of the label - that list was just LACs.
I would go with Bucknell!
Forgive me if I missed it, but is money no object? How much can your family pay outright for college for you, in total? Because the list on here is becoming “sky’s the limit”, since no one appears to be considering financial constraints. Do your parents have over 300K saved for college for you? Do they earn so much that paying 75K/yr out of their earnings would be nothing to them?
If yes, then sure, anyplace you can get into. But if no, you need to know what your budget is. Many flagship state U’s will offer you merit money that would bring the annual cost to under 40K.
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