Propfan
en.wikipedia.org
en.wikipedia.org
I suppose this might make things more catastrophic than they are already, but we're talking about these rare cases when a blade detaches. It's not a good moment.
or something like [2] https://en.wikipedia.org/wiki/Ducted_fan
Furthermore i don't hear much difference between a Cessna 525A CitationJet CJ4 and a Piaggio P.180 Avanti at about a mile of distance, except the Piaggio has more of a buzzing/sawtoothy sound, and the CJ4 more howling.
Or take helicopters, an old Bell UH1(D) and a (meanwhile) not so new either Eurocopter 135 are worlds apart. The Bell UH1 a very loud 'carpet beater', the EC 135 almost unbelievably silent in comparison. I mention that because i have fresh memories from one gliding over my roof and balcony into a parking spacee in front of a supermarket in SAR/MEDEVAC role recently. And i'm not deaf either, because i can hear an A380 going from Paris to Shanghai at 11km/950kph trough closed windows with double paned glass in the silence of the night. Anyways, don't be so unimaginative, there are options!
I wonder if it could be an effective strategy to re-enforce the parts of fuselage that could be hit instead of encasing the fans themselves.