If the types are not already on your FAA commercial (and you said they are not) you're out of luck there. Frankly, and with all respect, I wouldn't even ask such a thing of the examiner. "Here's my non-FAA approved training; can you add these types?" How's that sound to you?
No restriction on the checkride proper; bring everything the PTS says to bring, without exception. This includes an airworthy aircraft.