This is easy.
Get permission from the leaders, then make a quick recording of the music in the service every week.
Go home, get a friend to help you understand the words as much as possible, at least the gist of the song.
Listen to and sing along with the recording.
Repeat as you hear new songs.
This made all the difference in the world to how I experienced church in Benin!
Oh, and bring a frozen water bottle in a towel to rest your wrists on during the sermon to keep yourself cool.
How have you learned to enjoy church services in your host culture?