  We consider the extension of the Standard Model (SM) with a strongly
interacting QCD-like hidden sector, at least two generations of right-handed
neutrinos and one scalar singlet. Once scalar singlet obtains a nonzero vacuum
expectation value, active neutrino masses are generated through type-I seesaw
mechanism. Simultaneously, the electroweak scale is generated through the
radiative corrections involving these massive fermions. This is the essence of
the scenario that is known as the "neutrino option" for which the successful
masses of right-handed neutrinos are in the range $10^7-10^8$ GeV. The main
goal of this work is to scrutinize the potential to accommodate dark matter in
such a realization. The dark matter candidates are Nambu-Goldstone bosons which
appear due to the dynamical breaking of the hidden chiral symmetry. The mass
spectrum studied in this work is such that masses of Nambu-Goldstone bosons and
singlet scalar exceed those of right-handed neutrinos. Having the masses of all
relevant particles several orders of magnitude above $\mathcal{O}$(TeV), the
freeze-out of dark matter is not achievable and hence we turn to alternative
scenarios, namely freeze-in. The Nambu-Goldstone bosons can interact with
particles that are not in SM but, however, have non-negligible abundance
through their not-too-small couplings with SM. Utilizing this, we demonstrate
that the dark matter in the model is successfully produced at temperature scale
where the right-handed neutrinos are still stable. We note that the lepton
number asymmetry sufficient for the generation of observable baryon asymmetry
of the Universe can be produced in right-handed neutrino decays. Hence, we
infer that the model has the potential to simultaneously address several of the
most relevant puzzles in contemporary high-energy physics.
