  We characterize convex cocompact subgroups of mapping class groups that arise
as subgroups of specially embedded right-angled Artin groups. That is, if the
right-angled Artin group G in Mod(S) satisfies certain conditions that imply G
is quasi-isometrically embedded in Mod(S), then a purely pseudo-Anosov subgroup
H of G is convex cocompact in Mod(S) if and only if it is combinatorially
quasiconvex in G. We use this criterion to construct convex cocompact subgroups
of Mod(S) whose orbit maps into the curve complex have small Lipschitz
constants.
