Harvey Mudd would be another in the “nerdy” genre. It has the STEM prankster camaraderie like MIT and Caltech, but it’s also part of the Claremont Consortium, with cross-registration and shared EC’s with Pomona, Pitzer, Scripps, and Claremont McKenna, so there are a variety of “vibes” and “tribes” that you can partake in. CS is one of the most popular majors, and it’s a top-notch program and a leader in gender equity. All of the 5C’s meet full need, although their formulae and utilization of loans vary. Mudd has ED but not EA
Rice is another super-reach school where the nerdy demographic is well-represented, CS is excellent, and financial aid is generous. Rice also has ED but not EA.
Not sure whether any of URochester, RIT, RPI, or WPI would come in cheaper than Purdue, but it’s worth running the NPC’s as they could all be good options.