M+(2P)4Hen species, possibly involved in the post 2P ← 2S excitation dynamics of Sr+ and Ba+ in cold 4He gas or droplets, are studied employing both high level ab initio calculations to determine the potential energy curves (PEC) and diffusion Monte Carlo (DMC) to obtain information on their ground state structure and energetics. PEC for the excited M+(2P)He dimers were obtained using MRCI calculations with extended basis sets. Potential energy surfaces (PES) for M+( 2P)Hen were built with the DIM model including spin-orbit coupling via a perturbative procedure. DMC simulations indicated several exciplexes (n > 2) to be stable against He dissociation whatever the ion state, a finding that is at variance with what was previously suggested fo...