I'm responding to the part of the law that seems to address who puts it in the mail. I think that's ridiculous and unenforcable. What's important is who printed the ballot, filled it out etc.
The law requires only that the person who puts it in the mail to put their name on the outside. That would identify the corrupt vote manufacturers, because they don't do it by 1s and 2s. It would be interesting to see what an honest election looks like in some democratic strongholds.
A friend of mine ran for "county Judge" rather like a county mayor in one county in Texas. The local democratic party held a barbecue at the "traditionally Black college" in the county, and got nearly all the students, most of which were from out of state, or had previously voted in another county, to fill out ballots.
Surprise! the Democratic state attorney general didn't care to investigate, inspite of the 100 signed affidavits that the locals produced. The Democrat candidate won, still pale from being released after serving time for his felony.