  Time-resolved dynamics in charge-density-wave materials have revealed
interesting out-of-equilibrium electronic responses. However these are
typically only performed in a single material possessing a CDW. As such, it is
challenging to separate subtle effects originating from the CDW. Here, we
report on the ultrafast dynamics of the GdSb$_{x}$Te$_{2-x-\delta}$ series of
materials where E$_{F}$ can be tuned, resulting in a change from an undistorted
tetraganal phase to a CDW with a wavevector that depends on $x$. Using
mid-infrared, near-infrared, and visible excitation, we find the dynamics are
sensitive to both E$_{F}$ and the presence of the CDW. Specifically, as the Sb
content of the compounds increases, transient spectral features shift to higher
probe energies. In addition, we observe an enhanced lifetime and change in the
sign of the transient signal upon removing the CDW with high Sb concentrations.
Finally, we reveal fluence- and temperature-dependent photo-induced responses
of the differential reflectivity, which provide evidence of transient charge
density wave suppression in related telluride materials. Taken together our
results provide a blueprint for future ultrafast studies of CDW systems.
