  As part of the Snowmass'21 community planning excercise, the Advanced
Accelerator Concepts (AAC) community proposed future linear colliders with
center-of-mass energies up to 15 TeV and luminosities up to 50$\times10^{34}$
cm$^{-2}$s$^{-1}$ in a compact footprint. In addition to being compact, these
machines must also be energy efficient. We identify two challenges that must be
addressed in the design of these machines. First, the Beam Delivery System
(BDS) must not add significant length to the accelerator complex. Second, beam
parameters must be chosen to mitigate beamstrahlung effects and maximize the
luminosity-per-power of the machine. In this paper, we review advances in
plasma lens technology that will help to reduce the length of the BDS system
and we detail new Particle-in-Cell simulation studies that will provide insight
into beamstrahlung mitigation techniques. We apply our analysis to both
$e^+e^-$ and $\gamma\gamma$ colliders.
