600 GP is the magic number as the big collectible actions all cost 200. You can get to 600 GP pretty easy with quite cheap food (such as HQ antelope stew).

My rotation for 450 is Discerning Eye -> Methodical Appraisal -> Discerning Eye -> Methodical Appriasal -> Single Mind -> Methodical Appraisal, which gives 459 Collectibility and 3 swings.

I'm not sure what other stats are needed for this rotation to work for you, but I know that stats reach their cap quite quickly. If this doesn't work, using 3 x DE+MA will probably work but will only give you 2 swings. That combo give me 516.