Take a few days off from playing Neverball - believe it or not, this can IMPROVE your playing style.
I have finished all levels (RLK and MYM) legit by taking forced breaks. I cannot put my finger on WHY you improve, but it must come down to reflex memory - or something. I sometimes have the same issues with 3D platformers, and a full day or two off, seems to make a world of difference.
Don't get frustrated - that is the key, and don't try to pre-empt any upcoming obstacles.
The most frustrating times are trying to do a perfect time run, and playing the same level OVER and OVER!
Best of luck!
Currently Playing:
Celeste and Electronic Super Joy