I've used Lake Point High School in a couple of different branches. Haven't heard any complaints.
If you're assuming that it's a public high school located in a small town named Lake Point in the United States, that's probably the most "realistic" name.
But, as with so many aspects of YAWYW, I see no reason not to use something different if you think it works better for the story you want to tell. If you want to have it start off as George Washington High so it can become Georgina Washington High as one result of a wish, then go for it.
