I disagree with all those as well as any the state uses, whether gas, electricity, drugs, etc. Instead the right form is that which was used in Scripture, that being (usually) stoning, versus letting another to the dirty work .
I think this fostered a more fitting, deeper, sober and sense of responsibility. For the sin was not only against one but to varying degrees it was against the community, who thus should be able to engage in the retribution.
And knowing that the community would actually do the killing would have a greater deterrent against false testimony, as a liar would fear the wrath of the people he involved in his crime if he was found out.
Also, taking part in stoning one to death would also impress upon the people the gravity of the crime, and give them a sense of justice, more so that the state taking the guilty away for private execution.
And which in turn places greater appreciation on mercy, seen in contrast to justice.