I did some calculations to see if we can kill the mafia just by sweeping through as many possibilities as possible:

Firstly, if there are two mafia there are 136 different possible combinations of players who could be mafia. If there are 3 there are 680 and if there are 4 there are 2380.
Assuming the worst possible circumstances following my plan (only tie-voting 2 people each day, excluding today where we seem to be ready to tie-vote 5), we will have all the possible combinations of players available to us by day 6 (assuming two mafia), if we tie-vote 3 people each day (assuming 5 today), we will have all the possible combinations of 2 mafia by day 4 (except 1, which is too small a chance to be of concern), all the possible combinations of 3 mafia by day 6 and all the possible combinations of 4 by day 7. This all assumes 1 night kill for the entire mafia (in which case we will survive to day 7), and that no paradoxes occur (and I believe one is likely to at some point). This also assumes no other power roles.
These numbers are all overestimates however, because the nature of this game means that the combinations of live/dead players will be closely related to individual player action and not pure chance. Thus we will have to both scum hunt and gain near tie-votes every round.
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Depends on town's ability not to repeat players in the ties.Your maths are a bit useless, as they can't be applied to anything. Not only that, but they have it the other way around.

In response to Monty, who asked why a near tie-vote would give over half of players power over that days outcome; Imagine A, B and C all vote for X, whilst X and Y vote for A. X is lynched. After that day A, B and C will have the power to change the outcome of that days lynch by changing their vote from X to A, whereas X and Y do not have the same power because changing their vote to X will not change the outcome. This can be overcome by working with other players, but that isn't as powerful as being able to change the vote without help.
What? When did I ask this? I think you've misread my posts.

Now onto scum hunting. I believe Monty is scum because he didn't know that everyone had time traveling powers, if he had got the town role pm and read it then he would have been told that he has time traveling powers and would probably have assumed that everyone else who is town also did. So either he is guilty, or a power role (if they exist).
The only other alternatives are that either he didn't notice his pm and assumed he was town or he skimmed his pm, which seems unlikely
Hm, no, that's a horrible thing to assume. Why would anyone assume that? The reason I should have known that everyone has this power is because it says so in the OP.

I believe this is a pretty poor plan because it muddles absolutely everything and tells us absolutely nothing. If we tie multiple people a day, we practically guarantee a "future" change in the lynch. What exactly is the benefit in this?