I time travel (ed) a lot, but I always kept within the same day. I think that it's currently July 4, 2016 on my game, but I'm not one hundred percent sure about that. Might be one day forward or back.
I'm on the 4th! I usually try not to let my town get more than a few days off, because I've been months off before and that was a nightmare sorting out.... Also I really like to experience the seasonal events when they're supposed to happen. For some reason its a lot more fun to make snowmen when it's actually snowing outside, as opposed to in blistering hot July weather haha.
In my main town, it's April 9th 2016, and I'm planning on keeping it around that day for a while.
My second town is set around August, I think (haven't played on it in a while) and my third town is set to today's date.
9/9/2016. I get bored playing the same day, so after I've done everything I wanted, I TT ahead to the next day to reset shop merchandise, make progress with PWPs, etc. I play this game A LOT, so I gotta keep it fresh lol.
Ive decided not to TT in my current town so its the regular date!
(I would TT to move out villagers but I am afraid of losing any of my current dreamies)