This nice Lady breaks Eli 1.0 for 1 credit, 4 times.

Isn't that enough? :-) And it's in the faction with all the tools to recur programs: Clone Chip, Test Run, Levy AR Lab access. Probably it's not enough to leave all the other fracters in the binder, but I can see a shaper deck that uses Lady as the primary fracter, tutoring a Snowball only if the corp has a lot of small barriers, as Wraparound and Ice Wall.