  Recent observations constrain the amount of Dark Radiation ($\Delta N_{\rm
eff}$) and may even hint towards a non-zero value of $\Delta N_{\rm eff}$. It
is by now well-known that this puts stringent constraints on the sequestered
Large Volume Scenario (LVS), i.e. on LVS realisations with the Standard Model
at a singularity. We go beyond this setting by considering LVS models where SM
fields are realised on 7-branes in the geometric regime. As we argue, this
naturally goes together with high-scale supersymmetry. The abundance of Dark
Radiation is determined by the competition between the decay of the lightest
modulus to axions, to the SM Higgs and to gauge fields. The latter decay
channel avoids the most stringent constraints of the sequestered setting.
Nevertheless, a rather robust prediction for a substantial amount of Dark
Radiation can be made. This applies both to cases where the SM 4-cycles are
stabilised by D-terms and are small "by accident" as well as to fibred models
with the small cycles stabilised by loops. Furthermore, we analyse a closely
related setting where the SM lives at a singularity but couples to the volume
modulus through flavour branes. We conclude that some of the most natural LVS
settings with natural values of model parameters lead to Dark Radiation
predictions just below the present observational limits. Barring a discovery,
rather modest improvements of present Dark Radiation bounds can rule out many
of these most simple and generic variants of the LVS.
