My suggestion: Make the 'vote counts twice' an option during the day that Prosecutor can only use once.
This way, when selfvoting, Prosecutor will not force NL on D1 or self-lynch in case of 2 clears hammering.

You need to think of avoiding lylo after a mislynch when designing a setup. By doing so, I can not think of a good setup other than one that gives town 2 MLs which is too much; except that such setup would be the same as a setup with one ML: of town mislynches twice, they are going to lose the game the on the 3rd day. So technically this would work the same in the concept of mislynching BUT if town successfully lynches prosecutor on the first ML then mafia will be in BIG trouble since town would still have 2MLs. This will make the setups so limited and hard to overcome for both parties.

What do you do in lylo?

Do the votes count twice in lynching, mafia meetings, or both?

OBJECTION!

This will make Judge very useful, I see a bright future for this role in competitive.