I was thinking only Minato and Naruto can; speed based characters with shadow clone techs. Any other, nope.
And doesn't large scale ST take time to load?
I do not believe so.
When Pain decided to use it...he only waited until the other paths were out of range...that would be the only time limit.
That being said, the REAL time limit is that Deva is left LITERALLY useless in this scenario afterwards as it takes minutes to re-install it.
So anyone who has extreme speed (Naruto, Minato, Gai), people with Alternate presences (Jinjuriki, Kakuzu w/Masks), and those who have overwhelming power (Nagato-Shinra tensei. Madara-Rinnegan/Perfect Susanoo, Hashirama Suisenjutsu) would be the ones with the potential to solo the clan.
But it's entirely possible that strategy and co-ordination can make up for a lacking of speed.
For example: just line up a group of Yamanaka like a Colonial regiment and fire a salvo of Mind Transfer....covering a wide range may leave many unconscious and in trouble, but there's the off chance that they cannot escape the attack because despite their speed....quantity is too great.
Follow it up with an explosive tag on the body and GG.