  We extend recent work of the third author and Kouloukas by constructing
deformations of integrable cluster maps corresponding to the Dynkin types
$A_{2N}$, lifting these to higher-dimensional maps possessing the Laurent
property and demonstrating integrality of the deformations for $N\leq 3$. This
provides the first infinite class of examples (in arbitrarily high rank) of
such maps and gives information on the associated discrete integrable systems.
Key to our approach is a ``local expansion'' operation on quivers which allows
us to construct and study mutations in type $A_{2N}$ from those in type
$A_{2(N-1)}$.
