If you watch the movement of the Sun across the sky, and calculate where it will appear to be in 16 minutes, you should nail it. That's because ti takes about 8 minutes for sunlight to reach Earth. So, if you think o fwatching your laser beem travel to the Sun, you have to realize that it will take about 8 minutes to complete the trip, and will lag 8 minutes behind whatever lead you gave by the time it arrives.
So let's say you're facing South when you fire. As you watch the Sun, it appears to be moving from left to right across the sky. You aim 16 minutes to the right (ahead of it) and shoot. As you watch, you will see the laser taking 8 minutes to reach the Sun. During those 8 minutes, the Sun will continue moving to the right, and your beam will appear to drift to the left (by the same amount). They will arrive at the same location at the same time 8 minutes after you fired.