  We present a study on inclusive emissions of a double $\Lambda_c$ or of a
$\Lambda_c$ plus a light-flavored jet system as probe channels in the semi-hard
regime of QCD. Our formalism relies on the so-called hybrid
high-energy/collinear factorization, where the standard collinear description
is supplemented by the $t$-channel resummation \`a la BFKL of energy logarithms
up to the next-to-leading accuracy. We make use of the JETHAD modular
interface, suited to the analysis of different semi-hard reactions, employing
the novel KKSS19 parameterization for the description of parton fragmentation
into $\Lambda_c$ baryons. We provide predictions for rapidity distributions and
azimuthal correlations, that can be studied at current and forthcoming LHC
configurations, hunting for possible stabilizing effects of the high-energy
series.
