The ball thing sounds like a fucking nightmare - throw it away immediately!
Your vagina is not like a worn out elastic band that gets looser the more you stretch it and you can't "train" it to be more stretchy. So all you're doing is causing yourself pain and fear for absolutely no benefit.
I won't lie, crowning was pretty bloody horrible and my least favourite part of labour.
HOWEVER:
It only lasts a few seconds
Nobody honestly minds if you swear, or scream, or shout really loudly
You only have to do it once (for each baby obv)
AND it's a brilliant combination of right at the end of this incredibly exhausting/intense experience, meaning you're just so relieved/glad it's all over that you don't mind quite so much as you think you will, AND it's immediately before you get to meet your baby which is such a fantastically exciting wonderful moment that again, it doesn't seem to matter quite as much as it seems like it will right now.
Some things which can help as well.
You might have an epidural, in which case you may not feel it at all.
You could consider a waterbirth (if you haven't had an epidural obv) which allegedly reduces the pain as the warm water helps as well as the water making your body more stretchy so should make the whole thing easier. I never got this far so no idea if it helps.
You should have access to gas and air which you can use to take the edge off.
Shouting/vocalising/swearing is actually proven to help too so say whatever the fuck you like.
A midwife pressing a warm cloth on your perineum to support it while you push can help as well - this is apparently common in Nordic countries. You can try asking for it, they might be willing to give it a try.
Little pushes with breathing in between can help it happen more slowly (allegedly). Now TBH I never really got this, because I was too impatient for it to be over / to meet my baby to the point that I just do not have any more fucks to give about anything, so I always just end up pushing with all of my might every time and this seems to work fine.