The technique used when tapping holes with a thread tap can make this much easier:
After getting about one and a half threads started back the pin or screw out about 1/4 turn, then turn in again 1-1/2 or 2 turns then back 1/4 turn again. Repeat this three steps in -one step back until its all the way in. This technique lets the “chips” clear from in front of the first thread making it much easier to cut the new threads.
A great first step that minimizes that first gust of dust migration when the glass is lifted is to clean the glass, sides *and the back* before lifting the glass, and then lift SLOWLY. Most of that dust is already trapped inside and pulled up as the screen lifts, but with care you can keep it there (or gently vacuum out with a micro vac…).