I play MNK at 2300+ Skill Speed to get over this issue.
...I may have a problem, tbh, though.
And yes, SAM gets more out of SkS than Monk does, and has some very tidy rotational breakpoints at the 2.2s base CD (under 2s with Shifu), again around 2300 SkS. Sadly, though, it doesn't do Monk damage, in my experience, unless you reliably get Midare and Higanbana, both, into each Trick Attack.
Oddly enough, NIN is fine to me at a 2.46 base GCD, though, if only because of the occasional triple-weaves. /shrug