Practice playing the top string (aka string 1 (high E)) with your ring finger (aka 3rd finger) with a
rest stroke to see what kind of tone you can get. Put a little of that angle of attack into your playing. You may be clawing the strings and pull them up some as you pick them. It would likely be a more pronounce upward pull with the ring finger than the others. You don't have to play a full (come to rest on the next string) rest stroke but the idea behind it may help you.
https://www.youtube.com/watch?v=vVRmE4GipMc