I have a P09 cut for an RMR by Primary Machine, works great.
The P series slides are not "skinny", an RMR or EPS is a great fit with just slight overhang. I would not go with an EPS Carry personally.
If I were doing it today I would get it milled for either an EPS or a 509T.
For the work check out Nameless Arms, they do a precision optic cut for a reasonable price. Thinking about using them for my P01 with an EPS Carry.