I like Steve White's suggestion to get a magnet and find the original screw best. Even if it takes several hours, that will probably be the least time and money consuming option. Small screws like that seldom bounce more than 47 feet. Several years ago, I bought a roll of flexible magnet material like refrigerator magnets are made of. I lined a large plastic tray with it and use that to catch small screws, pins, and springs during assembly or disassembly. Saves a lot of profanity.

Voting for anti-gun Democrats is dumber than giving treats to a dog that shits on a Persian Rug