  In this work we probe the possibility of high-temperature conventional
superconductivity in the boron-carbon system, using ab-initio screening. A
database of 320 metastable structures with fixed composition (50$\%$/50$\%$) is
generated with the Minima-Hopping method, and characterized with electronic and
vibrational descriptors. Full electron-phonon calculations on sixteen
representative structures allow to identify general trends in $T_{\textrm{c}}$
across and within the four families in the energy landscape, and to construct
an approximate $T_{\textrm{c}}$ predictor, based on transparently interpretable
and easily computable electronic and vibrational descriptors. Based on these,
we estimate that around 10$\%$ of all metallic structures should exhibit
$T_{\textrm{c}}$'s above 30 $K$. This work is a first step towards ab-initio
design of new high-$T_{\textrm{c}}$ superconductors.
