It'll be interesting if they handle this via internal promotion - ie say Pridham to GM, Spezza shifts from advisor to AGM or something that involves an external search.
If they look outside the current front office, the candidate would likely have to feel comfortable jumping into an org that has built up different departments like the medical science group and analytics department. MLSE didn't spend money on that for it to go to waste.
If that ends up being the case, Tampas, Seattle's or Avs AGMs may prove intriguing since their front offices have similar setups. I'd add the Canes in too, but they aren't likely giving up anyone until the playoffs are over.