I'm actually surprised there isn't a mummy enemy in the Museum (preferably male), there's mention of an Egyptian wing after all! Not something gross and necrophillic, just a humanoid form completely encased in bandages
They could use their bandages like tentacles to bind their victims (see Benmummy/Share-O from the Ben 10 series for an example). When the player loses they could get bound by the mummy's bandages and fucked (if the mouth isn't being used in the sex scene I have a preference for the player getting gagged) and maybe there could be a chance of getting a bondage-themed Bound State where the mummy "mummifies" (as in completely wrap in bandages in such a way that immobilizes the player, not the other stuff) the player and then trap them inside a sarcophagus, all while the bandages are sexually tormenting the player/or the interior of the sarcophagus itself is designed to torment the player, like with tentacles, etcetera, and if the player fails to break free before their insanity drops they get a bad ending where they are trapped inside the sarcophagus for all eternity or turned into another one of the mindless mummies.
(Edit: The thought occurred to me that the player can potentially be too big for the sarcophagus, so in that instance we could get a humorous scene of the mummy trying to stuff the player inside but unable to manage it so the mummy dejectedly walks off leaving the player tied up on the floor to escape.)
In addition, if the player has the mummy infection (the infection item could be a piece of the mummy's bandages) they could be given a new attack with the bandages and have a chance of immobilizing their opponent and also unlocking some unique sex scenes with certain npcs and enemies (if I had to choose which npcs I'd say David, Elijah (both versions), Urik, Brutus, Korvin, Ryousei, and other pets/bunker/library npcs).
Sorry if this was a little long and specific. I know Bound States are hard to implement and that's why there's not many of them. This was all just an idea I had.