I've worked for a company that did this kind of thing a million times at corporate boondogles in Florida. We would shoot the golf tournamnet in the morning & show a video of it at their dinner that night. The thing to remember is that the golf itself doesn't matter. It's really a video about the people playing in the tournament.
Rule #1 - Ensure that you get a cart and a driver! Your main goal is to get as many people in your video as possible. In a perfect world, you will get every single golfer on the screen. You'll have to make a couple laps around the course to accomplish this.
Rule #2 - They probably suck at golf. So don't worry too much about where the shot goes. Stay on the people after the shot. Get the reaction from them & their partners after the shot. You'll get teasing, laughing, cringing, high fiving...all good stuff. The exception is putting. You can follow the ball here and either keep them in the shot as well or quickly get back to them after the ball goes in.
Rule #3 - As in any video, have a good microphone. In this case a quality camera mounted shotgun. You'll probably end up editing to music, and it breaks it up well to occasionally add some good funny audio. I used to get people to talk a little smack. If I got lucky I would get the same person doing something horrible like completly missing the ball or making a 10 foot drive or something. (Happens more than you think) Comedy Gold. You can even cheat & get the smack talk after the fact if you catch somebody that wiffs.
Rule #4 - Golf is boring. Therefore, golf videos are boring. Be creative and make it fun to watch. This is totally up to you, because it is boring by nature. We did all kinds of stupid crap to jazz these up and the clients LOVED it. We had people put commando hats on & sneak through the woods to steal peple's balls...follow a fake "bad shot" (off a tree, down a cart path, into the beer cart girl's lap, etc..)...replace the CEO (in your case the pastor?)'s ball with a trick "exploding" ball from a prank shop, etc. Sounds stupid, but it was always a hit. They just want to have fun watching the video of their day.
Rule #5 - You MUST try to get the beer cart girl's phone number. ALWAYS. We usually had 2 camera rigs, and would film each others attempts. Fun stuff. A few times we used video of ourselves being shot down in the final video.
Finaly, I know it's been used a million times and it's a bit trite, but "Oh Yeah" by Yello is the perfect song to cut a fun golf video to.
Good Luck.