I play in one league where there is a provided bat list to choose from, and all bats from either team playing are shared. We had our own issues prior to implementing this rule, since then nothing.
League I am in just started using the 52 300 Zulu. We hit the evil's last year, and the Dudley Thunder Heats the year before both 52 300. The ZULU's IMHO are much better than those.