The score to beat is 161,100.
Here's a cheap way to rack up points in Chapter 2. Not long after the basketball mini-game, you'll come to an area with 3 students being attacked by Zombie cheerleaders. After completing that, you'll need to use a bounce board (where you spam B and then follow through with a couple QTE buttons) to reach an upper ledge. You get 600 points for doing this, but you can jump down and repeat it over and over for another 600 each time.
I tried the level multiple times and never beat Dad's score, but then discovered this trick to pretty much guarantee it... with a little extra time put in. Like all the "beat dad's score" achievements, it won't unlock until the end of the level, after the final score (including penalties) is calculated.
I wouldn't be at all surprised if they fix this in an update, though -- especially if the score-padding can be done in a leaderboard run (haven't tried it).