Well turbocharged pistons do not handle abuse lightly. It works if flown by one pilot who knows what he is doing and flies consistantly the same way, each flight and pays attention to throttle, mixture cowling settings during descent, cooling the engine before shutdown etc. . If another pilot flies the aircraft the same way, there should be no problem either, but experience has shown, that the more individuals fly the plane, the higher the risk of the turbo charger packing up or cylinderheads cracking sooner or later due to incorrect temperature management.
This probably also explaines why Lufthansa's training aircraft had so many problems - I do not understand how someone can make the decision to utilise a turbocharged aircraft for such training purposes.
As far as I remember there was a B58 version with turbocharged IO550 BonAirs with a pressurized cabin. Probably heavier on fuel due to increased weight. Beech Duke, if you can get your hands on one may also be a nice ac.