  We generalize Gruber--Sisto's construction of the coned--off graph of a small
cancellation group to build a partially ordered set $\mathcal{TC}$ of cobounded
actions of a given small cancellation group whose smallest element is the
action on the Gruber--Sisto coned--off graph. In almost all cases
$\mathcal{TC}$ is incredibly rich: it has a largest element if and only if it
has exactly 1 element, and given any two distinct comparable actions
$[G\curvearrowright X] \preceq [G\curvearrowright Y]$ in this poset, there is
an embeddeding $\iota:P(\omega)\to\mathcal{TC}$ such that
$\iota(\emptyset)=[G\curvearrowright X]$ and $\iota(\mathbb
N)=[G\curvearrowright Y]$. We use this poset to prove that there are
uncountably many quasi--isometry classes of finitely generated group which
admit two cobounded acylindrical actions on hyperbolic spaces such that there
is no action on a hyperbolic space which is larger than both.
