It doesn't seem like there was any more input or feedback, so these are the limits I'm going to go with.
Code:
PT: 140
ST: 140
PS: 215
SS: 170
Total BSR: 340
The Speed limit is 144 base Speed.
Below is a short explanation for each of these choices.
Physical Tankiness: 140
CAP 27's physical bulk shouldn't be particularly great, but having the option to avoid being 2HKOed Corviknight's Brave Bird and Zeraora's Close Combat was seen as a desireable trait.
Special Tankiness: 140
Similarly to its physical bulk, CAP 27's special bulk shouldn't be particularly great either. 140 Special Tankiness is enough to potentially avoid being 2HKOed by Clefable, with a little more wiggle room. This was also seen as a desireable option by many.
Physical Sweepiness: 215
CAP 27 is looking to be a fast offensive pivot with a physical bias. 215 Physical Sweepiness is enough to reach a great Speed tier while retaining a solid enough Attack stat.
Special Sweepiness: 170
Some people expressed interest in a more mixed approach with a physical bias for CAP 27, so there's enough room for the Special Sweepiness here to reflect that.
Total BSR: 340
Because we want CAP27 to be a fast Pokemon, the BSR is inflated pretty massively. To stay around the same power level as previous CAP Pokemon like Equilibra and Jumbao, we've settled on 340 as the total BSR limit. This shouldn't allow for too much leeway and BSR abuse either.
Some people have expressed interest in outspeeding Zeraora and Dragapult, but because of the way BSR works, the increase of Speed on physical and special sweepiness would start plateauing, which'd allow for some heavy BSR abuse considering the much lower ceiling of Speed tiers this generation. We don't want to be outspeeding many Choice Scarf users either, so the limit is set at base 144 Speed.