LOTL, I have met 2 priests with physical disabilities who have been pastorally excellent.
Also, your criteria would require Archbishop Anthony Fisher of Sydney (George Pell's successor) to be excluded now from the priesthood as he has been diagnosed with Guillain–Barré syndrome. +Fisher thinks that Opus Dei is the ants' pants, so I don't think that you would be in any hurry to exclude him.

Also your description of a good priest as being "Sturdy, steady, calm, not overly concerned with their physical appearance, with strong bearing", almost neatly fits the selection criteria for men wanting to join Hitler's SS (just needed to add "racially pure" and it would have been spot on).

As for "vain, whiny, overly emotional, dramatic," that neatly fits a lot of JP2 priests.