SRP.
Did I entertain you sir.
Yes seriousness is a word.
SRP has the lowest amount of cut possible from polishes on the market today. If the OP would like to spend hours/days/weeks with that product, that's perfectly acceptable. But it's not the best suggestion fella, let's be honest.
OP, remember that you are working with plastic. It's not soft. For the size of area, you will require a harder compound than SRP. SRP by machine might, MIGHT, have the cut required, but you are doing by hand.
The process should be 1500 grit (as the absolute max), 2000, 3000, polish by machine if possible. If not, a decent cut polish like 203s on a hand cut pad.