I know what you are going thru. I hate noise when i am trying to get some sleep. I have tried many things including the ear plugs,but no,i can't stand them.
What works for me (may not work for you) is white noise.
White noise is a constant stream of sound that blocks out many 'noises' that keep you up at night and during the day if you like to either sleepduring the day or cat nap during the day. Unfortunately it will not block out your neighbors boom boom music.
Imagine sleeping under a waterfall. That is what white noise is like.
Do you ever use a fan when it is hot,during sleep? That is what white noise is like,but you get to control the volume.
How do I access this white noise. Simple,if you have a tv in your room (which most people do) turn your tv to a channel that shows 'snow' turn the channels brightness all the way down (if it bothers you) turn the white noise volume up to where it blocks out the sounds that bother you.
edit: I have traveled a lot and yes,there is something they can do. They can spray around your apartments and kill the little boogers. I have experienced this being done at hotels i have stayed at.