Alright, after some thought, I have devised a proper system to use.
For the purposes of this working, we either need to confirm the exact effects of jaks role, have him and other multi voters NOT USE THEIR ROLES unless instructed, or lynch them.
We are currently divided between
list A
Scum ratio 3-4 out of 11-12
Jak
Jonty
Safari
Soundman
VioIet
Aage
JGordon
nagerous
DRoZ
strike wolf
vodean
LSU's vote controlled by Jak
And list B
No known ratio, 12 players
Pancakemix
Mr. S
Com9
Shaggy
samgrossy
djfireside
/
victor
F1fth
Crazymilkshake
Hensow
Chapcrap <must not be scum for this to work

if we wish to be clear on how many scum there are total, we might have everyone on list B partake in the lynch alone today.
otherwise, to move on to the plan. With 23 alive it takes 12 to lynch
we will have everyone on list A on the bandwagon, not counting the stolen vote, we will subtract one extra from list A, and add two from list B for a total of 12,
so, for example,
Final vote count, / has been lynched
/ (12 votes)
Jak
Jonty
Safari
Soundman
VioIet
Aage
JGordon
nagerous
DRoZ
strike wolf
Pancakemix
Mr. S
in the above example, vodean was removed from list A, pancake and squirrel were added from list B
if chap confirms the amount of scum on the lynch has dropped, it means one of the following, that can be narrowed down through subsequent lynches and list reshuffles
1.vodean is scum, and was removed form the list
2.jak is scum, and his vote counts twice
3.LSU is scum, and his vote counts even if it isn't by choice.
4.Pancake and squirrel cannot be scum. <PROVEN
if the ratio stays the same, it means one of the following
1.Vodean, mr.s and pancake are town
2.Vodean was scum, but was replaced by pancake or mr.s who are also scum.
3.LSU is scum that was replaced by another scum
4. Jak is scum, whose extra vote was also replaced by scum.
if the ratio rises to 5 scum, it means one of the following
1.Vodean is town, pancake or Mr S is scum
2.vodean is scum, pancake and mr s are scum
3.jak's second vote is scum, pancake and mr.s are scum
4.jak's second vote is town, pancake or squirrel are scum.
if the ratio rises by two
1.it can only mean Mr S and pancake are scum, vodean is cleared, four of those remaining are scum too
once this ratio is established, the new group of band-wagoners becomes list A, and should subsequently have someone removed that needs to be cleared, and list B unknowns added to be tested depending on the total number of alive players remaining.
and since it has the most mystery around it, I would personally subtract jak's role from today's side A equation final vote count, but that's up to you all.
by this method, taking into account lynches, possible vig kills (I recommend that town kills be prioritized to list A, as it narrows down the ratio without doubt), mafia kills, etc, we could plausibly have everyone cleared in less than 5 game days.