As an alternative to ear plugs, perhaps also consider noise _replacement_ instead (eg. vs. noise _elimination).
I use an app that plays various rain sounds. I have it linked to speakers via Bluetooth (and I have a 3.5mm headphone-jack-type extension audio cable that I've run to my bedside table as an option, if I'm feeling picky about the sound quality of my rain ).
It's very relaxing, and blocks most outdoor sounds. I live in NZ, and the houses here are usually pretty thin-walled and consequently offer almost no sound deadening. This mostly-fixes/avoids that.
Perhaps you don't like rain, and so different sounds might be appropriate... I don't like anything else really apart from maybe low volume white noise, but that's me... but yeah, regardless of which sounds you pick, the general approach is worth trying!