According to oh-my-zsh.sh
L81-87:
if [ "$ZSH_THEME" = "random" ]; then
themes=($ZSH/themes/*zsh-theme)
N=${#themes[@]}
((N=(RANDOM%N)+1))
RANDOM_THEME=${themes[$N]}
source "$RANDOM_THEME"
echo "[oh-my-zsh] Random theme '$RANDOM_THEME' loaded..."
Therefore you should be able to print the path to the random theme with
print $RANDOM_THEME