The party should do away with them. They've served no tangible purpose since their inception with regard to preventing a disastrous decision and any other purposes they might serve can be replaced by a broader set of reforms to the primary and convention system. All they do is sow discord among those who don't understand political math (which is a huge percentage of the population, and even the voting population).
What about stopping a disease like Trump from infecting the party and ruining years of hard work in building up support among voters? After seeing him rip apart the GOP, I can't see how getting rid of them entirely would be acceptable.
How about reducing the number of superdelegates by a 1/3rd or more, then enforcing rules that no one can court superdelegates until after the last primary? I know that's really impossible to enforce, but they can impose large penalties if anyone is caught doing it before June, that way it becomes very risky. In addition, they could also force all the superdelegates from a state to vote for a candidate if they win over 70% in that state. These rules could go a long way in reducing the possibility of public outrage during the primary.
