Useful material for exotic naturalness signatures.
Twin Higgs and Folded SUSY: Displaced signatures arising from long-lived hidden glueballs. See https://arxiv.org/abs/1509.04284 and references therein.
Relaxion references:
https://arxiv.org/abs/1504.07551 : the original proposal. They show that a viable model has these new vector like leptons with their own non-Abelian force that could lead to interesting dark shower like signatures.
Reference exploring signature of accessing more and more sectors as a function of cuts, which may be applicable to Nnaturalness: https://arxiv.org/abs/1706.05008