Best to go for this on easy mode on level 1-2, because the crown requirement for that level is to win and get at least one rising shot. So you can get the crown and the trophy at the same time.
I picked the most suitable green for me, and wasted like 10 shots going back and forth trying to hit the pin. If I missed, I would hit the ball back into the fringe so I could try again. After I finally got it, i focused on getting low scores on the other holes so I could still place 1st overall. If you waste too many strokes going for the rising shot, and you don't win overall, then you will get just the trophy, and not the crown.
How to do a rising shot: Press down on the D-pad when you set the power, and press up on the D-pad on impact. Get perfect impact (ball stream will be blue if you get perfect impact) and hit the pin. The pin (the flag that sticks out of the hole) can only be hit from anywhere except the green. Set your power quite a bit higher than where the flag marker is, because you want to hit the pin in the air, not have the ball roll into the hole.