I think your answer has to be one of those UCLA guys that ran up huge streaks; and if Lew did 71 in high school, too, that seems too tough to beat.
But the aforementioned Jerry Lucas might be right behind:
76 straight in h.s., followed by three trips to the NCAA finals. Here's his Wiki link:
https://en.wikipedia.org/wiki/Jerry_Lucas#High_school He wasn't eligible as a freshman, so there's a gap in his stats. But also had a winning run in the '60 Olympics.
