I read about the Silk Road incident and wondered if it's possible for Tor relays to physically host services and distribute the load of executing the service across the network, while the service and the operator's identity remain anonymous.

That way, the service is decentralized and does not lead to the person's real identity.

I would like to create a PoC, but I'm not completely sure if it's theoretically secure enough to accomplish this, so I'd like to run it by this forum.

Hosting "web" hidden services with static files (such as html, css, js, etc) would be the easy part; it's exactly like p2p file sharing, but  
  
how could it be possible for Tor relays to execute the application code?  
how can the web application hold stateful information for users?  
can data be tampered by one of the many clients hosting the web service?  
is it possible for Tor to support the load balancing?  
how can the website be updated by the developer?  
is there any other problem that I'm not aware of?

Kindest Regards