I agree. The museum would only be a temporary residence for the artifacts, and I believe the AI pays quite well for great works. It doesn't seem like too bad a trade-off. As for the archaeologist expiring, I'm not sure how that'd work in this case. They don't have an explicit amount of charges: I've used English archaeologists and they lasted for 6 digs, which is the space of an English archaeology museum. So what if you never allowed your museum to fill up completely? Food for thought.