I'm not aware of any way using BASHbash. But it's one of the most popular features of zshzsh.
Personally I prefer zshzsh over BASHbash so I recommend trying it.
Here's the part of my .zshrc that deals with history:
SAVEHIST=10000 # Number of entries HISTSIZE=10000 HISTFILE=~/.zsh/history # File setopt APPEND_HISTORY # Don't erase history setopt EXTENDED_HISTORY # Add additional data to history like timestamp setopt INC_APPEND_HISTORY # Add immediately setopt HIST_FIND_NO_DUPS # Don't show duplicates in search setopt HIST_IGNORE_SPACE # Don't preserve spaces. You may want to turn it off setopt NO_HIST_BEEP # Don't beep setopt SHARE_HISTORY # Share history between session/terminals