My son just graduated and will be playing at a D1 in California on scholarship. He was a 4 year starter and all-league all four years. He made some awesome plays in outfield and had lots of memorable at bats...HR's, Grand Slams, beating throws, delayed steals, even stealing home. I'm writing this not to brag, but to illustrate a point. You never know what's going to happen in a game. If he's pitching, he could throw the dirtiest 3-2 curve ball and make the batter walk back to the dugout shaking his head. Or, he could make a beautiful diving catch at short, and get the out.
So, invest in a decent video camera, large memory card and extra batteries, stand/tripod(~$300). Set it up in back of the back stop, turn it on and go enjoy the game, with confidence you'll be able to capture those memories to share with family...and maybe recruiters.
During little league and travel ball, I watched so many parents race to the fence with their phone, when their son was hitting. The video is jumpy, often they're zooming in and out, they follow the ball where it's hit then their son, then the ball.
I stopped counting the number of coffees, beers and lunches I've been given from parents on teams that I've given them video of their son doing something on the field I captured and they didn't.
I'd be kicking myself if I didn't have the 6 years of video I captured on my son playing travel ball and high school ball. But, it's a cheap investment for a lifetime of memories. For college, I'll be able to record home games, and those that we can travel to, but some of the away games, I'm hoping will be streamed and I can capture those.