One of my two home courses (Miami Shores, Troy OH) recently had to remove a bunch of trees due to Emerald Ash Borer. In this course's case, things were already pretty wide open. It's a bit of a shame. This ash borer deal has done quite a bit of damage over these past 10 years or so in Ohio.
That aside, I can't imagine why a high-handicapper would cry too much over removing trees. Trees can make a mess of things especially if they are lurking beside the tee boxes.