Surround your testday and verse with a \begin{samepage} and \end{samepage}, i.e.:
\begin{samepage}
{*}testDay
\begin{verse}
testItemToDo\\*testItemToDo\\*testItemToDo\\*testItemToDo\\*testItemToDo\\*testItemToDo\\*testItemToDo\\*testItemToDo
\end{verse}
\end{samepage}
This still allows the verse to break a page fine, provided you get rid of some \\*.