It seems OP is not aware of difference and usage of "edited" and "unedited" posts. That is the reason they are messing up things with floods of PMs.
I mean there will be no need to make use of PMs here.
Just writing down all 3 name suggestions within a post and it should remain UNEDITED will help here exactly with the purpose what OP is expecting by making use of PMs AFAIK.
And a new suggester/applicant must check for NOT repeating, right?