At Princeton (for example) 3.9 would be exactly average.
I don’t know exactly how Princeton’s 3.9 CDS average is calculated; it may be driven down (if 3.9 can be considered “down”) by a high percentage of students entering with many IB/AP courses at highly competitive high schools. Still, a 3.9 GPA by itself may not be low enough or high enough to make a difference one way or the other. Combined with the OP’s high scores, it might be almost enough for a few of the 22 schools I listed above. Otherwise, I would expect the outcome to turn on other factors. At most of those schools, BOTH high grades AND high scores are necessary - but not sufficient - to admit an unhooked applicant.