  We propose new conjectures relating sum rules for the polynomial solution of
the qKZ equation with open (reflecting) boundaries as a function of the quantum
parameter $q$ and the $\tau$-enumeration of Plane Partitions with specific
symmetries, with $\tau=-(q+q^{-1})$. We also find a conjectural relation \`a la
Razumov-Stroganov between the $\tau\to 0$ limit of the qKZ solution and refined
numbers of Totally Symmetric Self Complementary Plane Partitions.
