Prediction on destroying the Horcux network: we know that the Horcruxes are all connected to Voldemort. If you could locate one (and we know they are now distributed so anyone can stumble across and be possessed by them), perhaps you could use that Horcruxes's connection to the network to destroy or incapacitate it, then kill Voldemort. Locating all possible nodes to physically destroy is heavily implied to be infeasible even with magic. I give this 60% confidence.

Prediction on next chapter: Voldemort kills Harry and succeeds. After all, Harry just told Voldemort about giving Horcruxes to your friends and testing your Horcrux network. I imagine Voldemort is curious as to whether or not Harry, as a Tom Riddle, will be absorbed by the network. I give this 40% confidence.

Outcomes: A. Only the part of Harry that Voldemort imprinted is absorbed by the network. This consciousness is either reborn as a purely young Tom Riddle, or reabsorbed by Voldemort completely upon his next death.

B. Harry himself is absorbed into the network. I'm not sure about all the implications of this. Obviously, he could attempt possessing someone, but this seems mostly against his moral code (unless he thought he could prevent more suffering by doing so.) Or he could potentially mess with the Horcux network internally.

C. Another magical explosion occurs--we're still not entirely certain what caused Voldemort's Horcrux spell to backfire in the first place.

D. Harry, in fact, dies. A possible, if unsatisfying literary ending.