The only benefit to TTing for NMT is doing the 2x and 5x dailies and claiming the free ones from the ABD. Aside from that there's not much of a difference.
Yep - this. Do as many of the easy challenges as you can, especially the multiplied ones. Then travel to new day. Check the Nook Stop everyday to keep the streak going for 300 free nook miles.
As far as booting villagers here is my method... It works every time
1. TT 15 days forward.
2. Look for bubble. If it's there and the person you want. Done.
3. If you don't see it and nobody wants to move TT forward one day
4. Look for bubble
5. If you don;t see the bubble keep going forward one day at a time until you do.
6. When you see the bubble and someone wants to leave - mark / remember that date.
7. If it's not the person you want to leave, decline and exit game. If it is then done.
8. If 7 was not the person you wanted to leave, TT back to current date
9. TT to the day you marked / remembered from step 7. Look for bubble, should be a different person wanting to leave.
Keep going back to current date and forward to bubble date until you get the person you want to leave. Basically the date the bubble 1st appeared is the key as it will continue to happen on that date. Travel back to reg time then forward to that date until you get the person to leave that you want out..