At this point, my friend stopped me and quizzed me. She didn't actually know that singer doesn't rhyme perfectly with finger. She says them the same way. And I listened carefully to her speech, and sure enough, she has the "hard version" of our "ng" sound, and doesn't actually say the soft version. Or, maybe she has one in-between sound. But I could definitely here the "explosive" "g" when she said singer.
With this variation
Of English pronunciation
You won't be misunderstood
But you won't sound perfectly good.