I’m always happy to help.
This can be a tough problem to solve.
Most students get it quickly once they have an efficient picking movement, and the approach I use to teach efficient picking mechanics almost always bypasses this problem entirely.
Still, there are some students who will revert to stringhopping whenever the fretting hand is involved for some time after discovering an efficient picking movement.
I’ll try, it’s hard to capture everything in text. Obviously, I go in much more detail in lessons.
The first thing to understand is that picking speed for single escape mechanics are roughly equivalent to drumming. Drummers get two hands, but get one stroke per hand (ignoring doubles, Moellers, etc). Guitarists get one hand, but we get two strokes (up and down).
You should be able to play continuous accented 16th notes on a single string as fast as you can drum a continuous 16th note roll with you fingers on a surface (a table top, your knee, etc).
Fast drumming is normal, you’ve heard it all your life. No competent drummer thinks that a 16th note single-stroke roll at 170-180 bpm is “fast.” Guitarists all over the world are struggling to pick 16th notes at 120 bpm.
So, how fast can you drum continuous accented 16ths? See this video (made for another member):
https://youtube.com/shorts/7Md3Aa_osJM?si=F--hwdbjF3TDNrgL
This is the nearest perceptual analogue I can give for what fast picking “feels like” rhythmically. I have a full system of rhythmic rudiments to train this, but this is fundamentally what it’s all about.
Some people think it don’t be like it is, but it do.
Getting that connected to the fretting hand is a challenge in itself. Most guitarists can’t keep time with their fretting hands, and most guitarists’ picking hands follow their fretting hands. We need to be able to clearly perceive rhythmic pulse in both hands.
The simplest exercise is to alternate between two note on a single string, alternate picking both notes. The crucial thing here is that you don’t think “pick, pick” on both notes. If you have habituated the feeling of “push” on every fretted note, you’ll interpret this rhythmically as “push, push.” You’ve developed a strong attractor in your motor system.
Instead, think “tick-tock” as you pick the notes. Use large, powerful movements in both hands. Power and range of motion are good things. Rest strokes can be very helpful.
I’m delighted that worked for you, but I’d mention that there are plenty of terribly inefficient movement patterns that are possible with thumb and finger movement, too.
I can do fast thumb-finger movement. I don’t personally believe that it confers any unique advantage over any other efficient picking movement. More than that, from my teaching experience, it seems to be the movement that has the lowest success rate among students who try to learn it.