Boy you could argue with a lamp post. ;-)
1. Stop being concerned about what you want and put your snake's needs first
2. Ball pythons get super stressed easily, especially when being handled. Not seeing a reason for it to stress him (from your POV) doesn't make it any less stressful.
3. Regurgitation so closely related to your time of and length of handling is all the proof you should need.
4. You have people with far more experience than you can shake a stick at giving you advice. It isn't looking like it is what you want to hear.
5. Rephrasing your question 100 ways doesn't make the answer change. ;-)
Leave him be for a week to allow for gut flora and such to stabilize. Offer food. If he refuses to eat then try again in a week and do NOT handle him. If he eats, leave him alone for a week and feed again. Once he is consistently eating again, you can try handling but start with no more than 5mins at a time. You are the great bringer of food but you are also a giant snake eating monster to such a little guy.
Good luck with your guy.