  Recent analyses of small collision systems, namely $p+p$ and $p+$Pb at the
LHC and $p+$Au, $d+$Au and $^{3}$He+Au at RHIC, have revealed azimuthal
momentum anisotropies commonly associated with collective flow in larger
systems. Viscous hydrodynamics and parton cascade calculations have proved
successful at describing some flow-like observables in these systems. These two
classes of calculations also confirm these observables to be directly related
to the initial geometry of the created medium. However, the question of whether
equilibrium dynamics is the dominant driver of the signal remains open, given
the short lifetime of small systems. In this regime, pre-equilibrium dynamics
and late stage hadronic interactions are expected to play a significant role.
Hence, a beam energy scan of small systems---that amounts to varying the
initial temperature and the lifetime of the medium---can provide valuable
information to shed light on these issues. In this paper, we present
predictions from viscous hydrodynamics (SONIC), partonic (AMPT) and hadronic
(UrQMD) cascade calculations for elliptic $v_2$ and triangular $v_3$ anisotropy
coefficients in $d$+Au at $\sqrt{s_{NN}}$ = 7.7, 20, 39, 62.4 and 200 GeV,
corresponding to the expected running at RHIC in 2016. We also present
predictions for $d$+Pb at $\sqrt{s_{NN}}$ = 5.02 TeV, an interesting system to
compare to existing $p+$Pb data taken at the LHC.
