Ok I have tried the other "best" methods like the beginning of Chapter 5 with Chris - that takes 10 mins to get around 18,000-19,000 and waiting for Piers while he takes his sweet time drove me crazy. This method, expect to get MINIMUM 24,500 in 5min and under and it will help you max out your skills FAST
head to Ada Chap2-3 Underground lab
What you get:
-4 Whoppers @ 2500 each
-7 Napads @ 1500 each
-Relic in case - 4000
You get the same amount of points on pro so don't bother. And IT REALLY HELPS if you have an infinite weapon unlocked like the assault rifle I used. Here's a crappy video I put up.
ResidentEvil6 - Fastest Skill Point Farming - Read description - YouTube
If sumone already has stated this, my apologies, just getting it out there...