Respect for the people who can clapton perfectly by hand! For me it just took too much practise, my eyes aren't good enough and I wasted too much time.
I didn't want to spend a lot of money on premade coils either so I looked around for easier methods and here is one:
handsfree, perfect wrapping and super fast. If you use a good quality swivel (or use some wd40 on them), your cores won't even twist as much as in this video, and even if they do, they just untwist by spinning the final result a few times in the opposite direction.
I even don't bother with that because they're easy to untwist while wrapping the coil.
This trick works even with very thin wires, I'm usually using 38g or 40g wire to wrap but I'm sure you can even go up.